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1,607 results on '"Fundamental mathematics"'

3. Isomorphism classes of Drinfeld modules over finite fields

Author

Sub Fundamental Mathematics, Fundamental mathematics, Karemaker, Valentijn, Katen, Jeffrey, Papikian, Mihran, Sub Fundamental Mathematics, Fundamental mathematics, Karemaker, Valentijn, Katen, Jeffrey, and Papikian, Mihran

Published
2024

4. Computing binary curves of genus five

Author

Sub Fundamental Mathematics, Fundamental mathematics, Dragutinović, Dušan, Sub Fundamental Mathematics, Fundamental mathematics, and Dragutinović, Dušan

Published
2024

5. Partitions, multiple zeta values and the q-bracket

Author

Sub Fundamental Mathematics, Fundamental mathematics, Bachmann, Henrik, van Ittersum, Jan Willem, Sub Fundamental Mathematics, Fundamental mathematics, Bachmann, Henrik, and van Ittersum, Jan Willem

Published
2024

6. Hyperbola method on toric varieties

Author

Sub Fundamental Mathematics, Fundamental mathematics, Pieropan, Marta, Schindler, Damaris, Sub Fundamental Mathematics, Fundamental mathematics, Pieropan, Marta, and Schindler, Damaris

Published
2024

8. Ideal classes of orders in quaternion algebras

Author

Sub Fundamental Mathematics, Fundamental mathematics, Marseglia, Stefano, Smit, Harry, Voight, John, Sub Fundamental Mathematics, Fundamental mathematics, Marseglia, Stefano, Smit, Harry, and Voight, John

Published
2024

9. Homotopical commutative rings and bispans

Author

Sub Fundamental Mathematics, Fundamental mathematics, Cnossen, Bastiaan, Haugseng, Rune, Lenz, Tobias, Linskens, Sil, Sub Fundamental Mathematics, Fundamental mathematics, Cnossen, Bastiaan, Haugseng, Rune, Lenz, Tobias, and Linskens, Sil

Published
2024

12. Topological Strings on Non-commutative Resolutions

Author

Sub String Theory Cosmology and ElemPart, Sub Fundamental Mathematics, Katz, S, Klemm, A, Schimannek, T, Sharpe, E, Sub String Theory Cosmology and ElemPart, Sub Fundamental Mathematics, Katz, S, Klemm, A, Schimannek, T, and Sharpe, E

Published
2024

13. Monodromy and period map of the Winger pencil

Author

Looijenga, Eduard, Zi, Yunpeng, Sub Fundamental Mathematics, Fundamental mathematics, Sub Fundamental Mathematics, and Fundamental mathematics

Subjects
Mathematics - Algebraic Geometry, Mathematics - Geometric Topology, 14H10 \and 14D05 \and 14H40, Mathematics(all), Mathematics::Algebraic Geometry, General Mathematics, FOS: Mathematics, Geometric Topology (math.GT), Algebraic Geometry (math.AG)
Abstract

The sextic plane curves that are invariant under the standard action of the icosahedral group on the projective plane make up a pencil of genus ten curves (spanned by a sum of six lines and a three times a conic). This pencil was first considered in a note by R.~M.~Winger in 1925 and is nowadays named after him. The second author recently gave this a modern treatment and proved among other things that it contains essentially every smooth genus ten curve with icosahedral symmetry. We here show that the Jacobian of such a curve contains the tensor product of an elliptic curve with a certain integral representation of the icosahedral group. We find that the elliptic curve comes with a distinguished point of order $3$, prove that the monodromy on this part of the homology is the full congruence subgroup $\Gamma_1(3)\subset \SL_2(\Zds)$ and subsequently identify the base of the pencil with the associated modular curve. We also observe that the Winger pencil `accounts' for the deformation of the Jacobian of Bring's curve as a principal abelian fourfold with an action of the icosahedral group., Comment: Part of the research for this paper was done when both authors were supported by the Chinese National Science Foundation To be appear on the Journal of London Mathematical Society

Published
2023

14. Monodromy and period map of the Winger pencil

Author

Sub Fundamental Mathematics, Fundamental mathematics, Looijenga, Eduard, Zi, Yunpeng, Sub Fundamental Mathematics, Fundamental mathematics, Looijenga, Eduard, and Zi, Yunpeng

Published
2023

18. Why Historical Research Needs Mathematicians Now More Than Ever

Author

Fundamental mathematics, Sub Fundamental Mathematics, Chemla, Karine, Ferreirós, José, Ji, Lizhen, Scholz, Erhard, Wang, Chang, Blasjo, Viktor, Fundamental mathematics, Sub Fundamental Mathematics, Chemla, Karine, Ferreirós, José, Ji, Lizhen, Scholz, Erhard, Wang, Chang, and Blasjo, Viktor

Published
2023

19. Galileo’s Mathematical Errors

Author

Sub Fundamental Mathematics, Fundamental mathematics, Faini, Marco, Sgarbi, Marco, Blasjo, Viktor, Sub Fundamental Mathematics, Fundamental mathematics, Faini, Marco, Sgarbi, Marco, and Blasjo, Viktor

Published
2023

20. A Mysterious Tensor Product in Topology

Author

Faculteit Betawetenschappen, Sub Fundamental Mathematics, Fundamental mathematics, Moerdijk, Ieke, Faculteit Betawetenschappen, Sub Fundamental Mathematics, Fundamental mathematics, and Moerdijk, Ieke

Published
2023

21. The Adams isomorphism revisited

Author

Sub Fundamental Mathematics, Fundamental mathematics, Cnossen, Bastiaan, Lenz, Tobias, Linskens, Sil, Sub Fundamental Mathematics, Fundamental mathematics, Cnossen, Bastiaan, Lenz, Tobias, and Linskens, Sil

Published
2023

22. A stratification of the equivariant slice filtration

Author

Sub Fundamental Mathematics, Fundamental mathematics, Meier, Lennart, Shi, XiaoLin Danny, Zeng, Mingcong, Sub Fundamental Mathematics, Fundamental mathematics, Meier, Lennart, Shi, XiaoLin Danny, and Zeng, Mingcong

Published
2023

23. Invariant prime ideals in equivariant Lazard rings

Author

Sub Fundamental Mathematics, Fundamental mathematics, Hausmann, Markus, Meier, Lennart, Sub Fundamental Mathematics, Fundamental mathematics, Hausmann, Markus, and Meier, Lennart

Published
2023

24. Fibrations in semitoric and generalized complex geometry

Author

Sub Fundamental Mathematics, Fundamental mathematics, Cavalcanti, Gil R., Klaasse, Ralph L., Witte, Aldo, Sub Fundamental Mathematics, Fundamental mathematics, Cavalcanti, Gil R., Klaasse, Ralph L., and Witte, Aldo

Published
2023

25. Partition complexes and trees

Author

Sub Fundamental Mathematics, Faculteit Betawetenschappen, Fundamental mathematics, Heuts, Gijs, Moerdijk, Ieke, Sub Fundamental Mathematics, Faculteit Betawetenschappen, Fundamental mathematics, Heuts, Gijs, and Moerdijk, Ieke

Published
2023

28. Simplicial model structures on pro-categories

Author

Faculteit Betawetenschappen, Sub Fundamental Mathematics, Fundamental mathematics, Blom, Thomas, Moerdijk, Ieke, Faculteit Betawetenschappen, Sub Fundamental Mathematics, Fundamental mathematics, Blom, Thomas, and Moerdijk, Ieke

Published
2023

30. On equivariant topological modular forms

Author

Sub Fundamental Mathematics, Fundamental mathematics, Gepner, David, Meier, Lennart, Sub Fundamental Mathematics, Fundamental mathematics, Gepner, David, and Meier, Lennart

Published
2023

34. Newton on constructions in geometry

Author

Fundamental mathematics, Sub Fundamental Mathematics, Blasjo, Viktor, Fundamental mathematics, Sub Fundamental Mathematics, and Blasjo, Viktor

Published
2023

37. Concurrent normals of immersed manifolds

Author

Sub Fundamental Mathematics, Fundamental mathematics, Siersma, Dirk, Panina, Gaiane Yu, Sub Fundamental Mathematics, Fundamental mathematics, Siersma, Dirk, and Panina, Gaiane Yu

Published
2023

39. The Sn-equivariant top weight Euler characteristic of Mg,n

Author

Sub Fundamental Mathematics, Fundamental mathematics, Faber, Carel, CHAN, MELODY, GALATIUS, SØREN, PAYNE, SAM, Sub Fundamental Mathematics, Fundamental mathematics, Faber, Carel, CHAN, MELODY, GALATIUS, SØREN, and PAYNE, SAM

Published
2023

41. A survey of local-global methods for Hilbert's Tenth Problem

Author

Sub Fundamental Mathematics, Fundamental mathematics, Anscombe, Sylvy, Karemaker, Valentijn, Kisakürek, Zeynep, Mehmeti, Vlerë, Pagano, Margherita, Paladino, Laura, Sub Fundamental Mathematics, Fundamental mathematics, Anscombe, Sylvy, Karemaker, Valentijn, Kisakürek, Zeynep, Mehmeti, Vlerë, Pagano, Margherita, and Paladino, Laura

Published
2023

43. Simplicial $*$-modules and mild actions

Author

Sub Fundamental Mathematics, Fundamental mathematics, Lenz, Tobias, Schröter, Anna Marie, Sub Fundamental Mathematics, Fundamental mathematics, Lenz, Tobias, and Schröter, Anna Marie

Published
2023

46. Hooke and Coulomb Energy of Tripod Spiders

Author

Sub Fundamental Mathematics, Fundamental mathematics, Khimshiashvili, Giorgi, Siersma, Dirk, Sub Fundamental Mathematics, Fundamental mathematics, Khimshiashvili, Giorgi, and Siersma, Dirk

Published
2023

49. Unstable Periodic Homotopy Theory

Author

Sub Fundamental Mathematics, Fundamental mathematics, Moerdijk, Ieke, Heuts, Gijs, Shi, Yuqing, Sub Fundamental Mathematics, Fundamental mathematics, Moerdijk, Ieke, Heuts, Gijs, and Shi, Yuqing

Published
2023

50. Polar degree and vanishing cycles

Author

Siersma, Dirk, Tibăr, Mihai, Sub Fundamental Mathematics, Fundamental mathematics, Utrecht University [Utrecht], Université de Lille, Sub Fundamental Mathematics, and Fundamental mathematics

Subjects
32S30, 14C17, 32S50, 55R55, Mathematics - Complex Variables, 14C17, Mathematics - Algebraic Geometry, 32S50, Taverne, FOS: Mathematics, Geometry and Topology, Complex Variables (math.CV), 55R55, [MATH]Mathematics [math], 32S30, Algebraic Geometry (math.AG)
Abstract

We prove that the polar degree of an arbitrarily singular projective hypersurface can be decomposed as a sum of non-negative numbers which represent local vanishing cycles of two different types. This yields lower bounds for the polar degree of any singular projective hypersurface., accepted for publication by the Journal of Topology

Published
2022

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