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Your search keyword '"Algebraic geometry"' showing total 4 results
Start Over Descriptor "Algebraic geometry" Topic differential geometry Journal inventiones mathematicae
4 results on '"Algebraic geometry"'

1. Minimal models for Kähler threefolds.

Author

Höring, Andreas and Peternell, Thomas

Subjects
*KAHLERIAN manifolds, *THREEFOLDS (Algebraic geometry), *ALGEBRAIC geometry, *DIFFERENTIAL geometry, *MATHEMATICS theorems
Abstract

Let $$X$$ be a compact Kähler threefold that is not uniruled. We prove that $$X$$ has a minimal model. [ABSTRACT FROM AUTHOR]

Published
2016
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2. Quasi-isometry and deformations of Calabi-Yau manifolds.

Author

Liu, Kefeng, Rao, Sheng, and Yang, Xiaokui

Subjects
*HODGE theory, *ALGEBRAIC geometry, *DIFFERENTIABLE manifolds, *PARTIAL differential equations, *DIFFERENTIAL geometry
Abstract

We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of Kähler manifolds. As applications, we present a construction of globally convergent power series of integrable Beltrami differentials on Calabi-Yau manifolds and also a construction of global canonical family of holomorphic $$(n,0)$$ -forms on the deformation spaces of Calabi-Yau manifolds. Similar constructions are also applied to the deformation spaces of compact Kähler manifolds. [ABSTRACT FROM AUTHOR]

Published
2015
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3. Connected components of the moduli spaces of Abelian differentials with prescribed singularities.

Author

Kontsevich, Maxim and Zorich, Anton

Subjects
*MODULI theory, *ABELIAN functions, *DIFFERENTIAL equations, *ANALYTIC spaces, *DIFFERENTIAL geometry, *FUNCTIONS of several complex variables, *ALGEBRAIC geometry
Abstract

Consider the moduli space of pairs (C,ω) where C is a smooth compact complex curve of a given genus and ω is a holomorphic 1-form on C with a given list of multiplicities of zeroes. We describe connected components of this space. This classification is important in the study of dynamics of interval exchange transformations and billiards in rational polygons, and in the study of geometry of translation surfaces. [ABSTRACT FROM AUTHOR]

Published
2003
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4. Topological recursive relations in H2g(ℳg,n)

Author

Eleny-Nicoleta Ionel

Subjects
Monomial, Mathematics::Algebraic Geometry, Conjecture, Differential geometry, Degree (graph theory), General Mathematics, Descendant, Algebraic geometry, Topology, Mathematics, Symplectic geometry
Abstract

We show that any degree at least g monomial in descendant or tautological classes vanishes on ℳg,n when g≥2. This generalizes a result of Looijenga and proves a version of Getzler’s conjecture. The method we use is the study of the relative Gromov-Witten invariants of ℙ1 relative to two points combined with the degeneration formulas of [IP1].

Published
2002

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