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1,759 results on '"Ortiz, Angel"'

1. MMP for Enriques pairs and singular Enriques varieties

Author

Denisi, Francesco Antonio, Ortiz, Ángel David Ríos, Tsakanikas, Nikolaos, and Xie, Zhixin

Subjects
Mathematics - Algebraic Geometry
Abstract

We introduce and study the class of primitive Enriques varieties, whose smooth members are Enriques manifolds. We provide several examples and we demonstrate that this class is stable under the operations of the Minimal Model Program (MMP). In particular, given an Enriques manifold $Y$ and an effective $\mathbb{R}$-divisor $B_Y$ on $Y$ such that the pair $(Y,B_Y)$ is log canonical, we prove that any $(K_Y+B_Y)$-MMP terminates with a minimal model $(Y',B_{Y'})$ of $(Y,B_Y)$, where $Y'$ is a $\mathbb{Q}$-factorial primitive Enriques variety with canonical singularities. Finally, we investigate the asymptotic theory of Enriques manifolds.

Published
2024

2. Crossing the transcendental divide: from Schottky groups to algebraic curves

Author

Fairchild, Samantha and Ortiz, Ángel David Ríos

Subjects
Mathematics - Geometric Topology, Mathematics - Algebraic Geometry, 30F40, 14Q05, 20H10, 22E40
Abstract

Though the uniformization theorem guarantees an equivalence of Riemann surfaces and smooth algebraic curves, moving between analytic and algebraic representations is inherently transcendental. Our analytic curves identify pairs of circles in the complex plane via free groups of M\"obius transformations called Schottky groups. We construct a family of non-hyperelliptic surfaces of genus $g\geq 3$ where we know the Riemann surface as well as properties of the canonical embedding, including a nontrivial symmetry group and a real structure with the maximal number of connected components (an $M$-curve). We then numerically approximate the algebraic curve and Riemann matrices underlying our family of Riemann surfaces.

Published
2024

4. On the transcendental lattices of Hyperk\'ahler manifolds

Author

Piroddi, Benedetta and Ortiz, Ángel David Ríos

Subjects
Mathematics - Algebraic Geometry, 14J42
Abstract

We introduce the notion of a Hyper-K\"{a}hler manifold $X$ induced by a Hodge structure of K3-type. We explore this notion for the known deformation types of hyper-K\"{a}hler manifolds studying those that are induced by a K3 or abelian surface, giving lattice-theoretic criteria to decide whether or not they are birational to a moduli space of sheaves over said surface. We highlight the different behaviors we find for the particular class of hyper-K\"{a}hler manifolds of O'Grady type., Comment: 24 pages

Published
2023

5. Decomposing Tensor Spaces via Path Signatures

Author

Améndola, Carlos, Galuppi, Francesco, Ortiz, Ángel David Ríos, Santarsiero, Pierpaola, and Seynnaeve, Tim

Subjects
Mathematics - Representation Theory, Mathematics - Algebraic Geometry, Mathematics - Probability, 60L10, 60L70, 05E10, 15A72, 14N07
Abstract

The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of all signature tensors at a particular level gives rise to the universal signature variety. We show that the parametrization of this variety induces a natural decomposition of the tensor space via representation theory, and connect this to the study of path invariants. We also examine the question of determining what is the tensor rank of a signature tensor., Comment: 22 pages

Published
2023
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6. Asymptotic base loci on hyper-K\'ahler manifolds

Author

Denisi, Francesco Antonio and Ortiz, Ángel David Ríos

Subjects
Mathematics - Algebraic Geometry
Abstract

Given a projective hyper-K\"ahler manifold $X$, we study the asymptotic base loci of big divisors on $X$. We provide a numerical characterization of these loci and study how they vary while moving a big divisor class in the big cone, using the divisorial Zariski decomposition, and the Beauville-Bogomolov-Fujiki form. We determine the dual of the cones of $k$-ample divisors $\mathrm{Amp}_k(X)$, for any $1\leq k \leq \mathrm{dim}(X)$, answering affirmatively (in the case of projective hyper-K\"ahler manifolds) a question asked by Sam Payne. We provide a decomposition for the effective cone $\mathrm{Eff}(X)$ into chambers of Mori-type, analogous to that for Mori dream spaces into Mori chambers. To conclude, we illustrate our results with several examples., Comment: 26 pages. Final version. The exposition improved, thanks to the referee's comments. Proposition 3.9 was deleted. To appear in Commun. Contemp. Math

Published
2023

8. Use of IoT-Based Telemetry via Voice Commands to Improve the Gaudiability Rate of a Generation Z Pet Habitation Experience

Author

Ochoa-Zezzatti, Alberto, De los Santos, Jose, Hernandez, Maylin, Ortiz, Ángel, Reyes, Joshuar, González, Saúl, Vidal, Luis, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Calvo, Hiram, editor, Martínez-Villaseñor, Lourdes, editor, Ponce, Hiram, editor, Zatarain Cabada, Ramón, editor, Montes Rivera, Martín, editor, and Mezura-Montes, Efrén, editor

Published
2024
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9. A survey on rational curves on complex surfaces

Author

Barbaro, Giuseppe, Fagioli, Filippo, and Ortiz, Ángel David Ríos

Subjects
Mathematics - Algebraic Geometry, Mathematics - Differential Geometry
Abstract

In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the K\"ahler and non-K\"ahler setup. We systematically go through the Enriques--Kodaira classification of complex surfaces to highlight the different approaches applied to the study of rational curves in each class. We also provide several examples and point out some open problems., Comment: 19 pages, 6 figures, comments are welcome. Version accepted for publication in Riv. Mat. Univ. Parma

Published
2022

15. Higher Gaussian Maps on K3 surfaces

Author

Ortiz, Angel David Rios

Subjects
Mathematics - Algebraic Geometry
Abstract

We give necessary conditions for the surjectivity of the higher Gaussian maps on a polarized K3 surface. As an application, we show that the higher $k$-th Gauss map for a general curve of genus $g$ (that depends quadratically with $k$) is surjective., Comment: 20 pages; v2: Final version. Accepted for publication in IMRN

Published
2021

16. Collaborative Network for the Development of Non-Destructive Inspection Technologies: Elicitation Requirements in an Industrial Environment

Author

Lario, Joan, Mateos, Javier, Poler, Raúl, Ortiz, Ángel, Rannenberg, Kai, Editor-in-Chief, Soares Barbosa, Luís, Editorial Board Member, Goedicke, Michael, Editorial Board Member, Tatnall, Arthur, Editorial Board Member, Neuhold, Erich J., Editorial Board Member, Stiller, Burkhard, Editorial Board Member, Stettner, Lukasz, Editorial Board Member, Pries-Heje, Jan, Editorial Board Member, Kreps, David, Editorial Board Member, Rettberg, Achim, Editorial Board Member, Furnell, Steven, Editorial Board Member, Mercier-Laurent, Eunika, Editorial Board Member, Winckler, Marco, Editorial Board Member, Malaka, Rainer, Editorial Board Member, Camarinha-Matos, Luis M., editor, Boucher, Xavier, editor, and Ortiz, Angel, editor

Published
2023
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27. Riemann-Roch Polynomials of the known Hyperk\'ahler Manifolds

Author

Ortiz, Ángel David Ríos

Subjects
Mathematics - Algebraic Geometry
Abstract

We compute explicit formulas for the Euler characteristic of line bundles in the two exceptional examples of Hyperk\"ahler Manifolds introduced by O'Grady. In the Appendix Yalong Cao and Chen Jiang use our formulas to compute the Chern numbers for the 10-dimensional example., Comment: 10 pages. With an appendix by Yalong Cao and Chen Jiang. v3: Final version. Accepted for publication in Bulletin de la Societe Mathematique de France

Published
2020

29. Correction to: Use of IoT-Based Telemetry via Voice Commands to Improve the Gaudiability Rate of a Generation Z Pet Habitation Experience

Author

Ochoa-Zezzatti, Alberto, De los Santos, Jose, Hernandez, Maylin, Ortiz, Ángel, Reyes, Joshuar, González, Saúl, Vidal, Luis, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Calvo, Hiram, editor, Martínez-Villaseñor, Lourdes, editor, Ponce, Hiram, editor, Zatarain Cabada, Ramón, editor, Montes Rivera, Martín, editor, and Mezura-Montes, Efrén, editor

Published
2024
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30. Collaborative Optimization Tool for Sustainable Planning of an Agricultural Supply Chain Preserving Farmers’ Independence

Author

Esteso, Ana, Alemany, M. M. E., Ortiz, Ángel, Lezoche, Mario, Rannenberg, Kai, Editor-in-Chief, Soares Barbosa, Luís, Editorial Board Member, Goedicke, Michael, Editorial Board Member, Tatnall, Arthur, Editorial Board Member, Neuhold, Erich J., Editorial Board Member, Stiller, Burkhard, Editorial Board Member, Tröltzsch, Fredi, Editorial Board Member, Pries-Heje, Jan, Editorial Board Member, Kreps, David, Editorial Board Member, Reis, Ricardo, Editorial Board Member, Furnell, Steven, Editorial Board Member, Mercier-Laurent, Eunika, Editorial Board Member, Winckler, Marco, Editorial Board Member, Malaka, Rainer, Editorial Board Member, Camarinha-Matos, Luis M., editor, Ortiz, Angel, editor, Boucher, Xavier, editor, and Osório, A. Luís, editor

Published
2022
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42. Green Aspects of Flow Chemistry for Drug Discovery

Author

Díaz-Ortiz, Ángel, de la Hoz, Antonio, Bernstein, Peter R., Series Editor, Garner, Amanda L., Series Editor, Georg, Gunda I., Series Editor, Laufer, Stefan, Series Editor, Lowe, John A., Series Editor, Meanwell, Nicholas A., Series Editor, Saxena, Anil Kumar, Series Editor, Supuran, Claudiu T., Series Editor, Zhang, Ao, Series Editor, Tschammer, Nuska, Series Editor, Poulsen, Sally-Ann, Series Editor, Alcazar, Jesus, editor, de la Hoz, Antonio, editor, and Díaz-Ortiz, Angel, editor

Published
2021
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48. Optimization Models to Improve First Quality Agricultural Production Through a Collaboration Program in Different Scenarios

Author

Esteso, Ana, Alemany, M. M. E., Ortiz, Ángel, Zaraté, Pascale, Rannenberg, Kai, Editor-in-Chief, Soares Barbosa, Luís, Editorial Board Member, Goedicke, Michael, Editorial Board Member, Tatnall, Arthur, Editorial Board Member, Neuhold, Erich J., Editorial Board Member, Stiller, Burkhard, Editorial Board Member, Tröltzsch, Fredi, Editorial Board Member, Pries-Heje, Jan, Editorial Board Member, Kreps, David, Editorial Board Member, Reis, Ricardo, Editorial Board Member, Furnell, Steven, Editorial Board Member, Mercier-Laurent, Eunika, Editorial Board Member, Winckler, Marco, Editorial Board Member, Malaka, Rainer, Editorial Board Member, Camarinha-Matos, Luis M., editor, Afsarmanesh, Hamideh, editor, and Ortiz, Angel, editor

Published
2020
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49. Assessing the Impact of Pumpkins Plantation, Harvest and Storage Decisions on a Collaborative Supply Chain with Data Analysis Tools

Author

Pérez, David, de los Ángeles Rodríguez, Maria, Ortiz, Ángel, Guyon, Cècile, Rannenberg, Kai, Editor-in-Chief, Soares Barbosa, Luís, Editorial Board Member, Goedicke, Michael, Editorial Board Member, Tatnall, Arthur, Editorial Board Member, Neuhold, Erich J., Editorial Board Member, Stiller, Burkhard, Editorial Board Member, Tröltzsch, Fredi, Editorial Board Member, Pries-Heje, Jan, Editorial Board Member, Kreps, David, Editorial Board Member, Reis, Ricardo, Editorial Board Member, Furnell, Steven, Editorial Board Member, Mercier-Laurent, Eunika, Editorial Board Member, Winckler, Marco, Editorial Board Member, Malaka, Rainer, Editorial Board Member, Camarinha-Matos, Luis M., editor, Afsarmanesh, Hamideh, editor, and Ortiz, Angel, editor

Published
2020
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50. Artificial Intelligence in Supply Chain Operations Planning: Collaboration and Digital Perspectives

Author

Rodríguez, María Ángeles, Alemany, M. M. E., Boza, Andrés, Cuenca, Llanos, Ortiz, Ángel, Rannenberg, Kai, Editor-in-Chief, Soares Barbosa, Luís, Editorial Board Member, Goedicke, Michael, Editorial Board Member, Tatnall, Arthur, Editorial Board Member, Neuhold, Erich J., Editorial Board Member, Stiller, Burkhard, Editorial Board Member, Tröltzsch, Fredi, Editorial Board Member, Pries-Heje, Jan, Editorial Board Member, Kreps, David, Editorial Board Member, Reis, Ricardo, Editorial Board Member, Furnell, Steven, Editorial Board Member, Mercier-Laurent, Eunika, Editorial Board Member, Winckler, Marco, Editorial Board Member, Malaka, Rainer, Editorial Board Member, Camarinha-Matos, Luis M., editor, Afsarmanesh, Hamideh, editor, and Ortiz, Angel, editor

Published
2020
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