Frobenius map on local Calabi-Yau manifolds

被引：0

作者：

Shapiro, I. ^{[1
]}

机构：

[1] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 02期

关键词：

geometry; polynomials; INSTANTON NUMBERS;

D O I：

10.1063/1.3075574

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove results that, for a certain class of noncompact Calabi-Yau threefolds, relate the Frobenius action on their p-adic cohomology to the Frobenius action on the p-adic cohomology of the corresponding curves. In the Appendix, we describe our interpretation of the Griffiths-Dwork method.

引用

页数：14

共 50 条

[1] Calabi-Yau Frobenius algebras
Eu, Ching-Hwa
Schedler, Travis
JOURNAL OF ALGEBRA, 2009, 321 (03) : 774 - 815
[2] Brane superpotential and local Calabi-Yau manifolds
Ricco, Antonio
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (14-15): : 2187 - 2189
[3] Frobenius polynomials for Calabi-Yau equations
Samol, Kira
van Straten, Duco
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2008, 2 (03) : 537 - 561
[4] Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds
Nam-Hoon Lee
Journal of High Energy Physics, 2010
[5] Calabi-Yau manifolds from pairs of non-compact Calabi-Yau manifolds
Lee, Nam-Hoon
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (04):
[6] Generalized Calabi-Yau manifolds
Hitchin, N
QUARTERLY JOURNAL OF MATHEMATICS, 2003, 54 : 281 - 308
[7] Calabi-Yau manifolds and their degenerations
Tosatti, Valentino
BLAVATNIK AWARDS FOR YOUNG SCIENTISTS 2011, 2012, 1260 : 8 - 13
[8] Convergence of Calabi-Yau manifolds
Ruan, Wei-Dong
Zhang, Yuguang
ADVANCES IN MATHEMATICS, 2011, 228 (03) : 1543 - 1589
[9] On solvable generalized Calabi-Yau manifolds
De Bartolomeis, Paolo
Tomassini, Adriano
ANNALES DE L INSTITUT FOURIER, 2006, 56 (05) : 1281 - 1296
[10] A Calabi-Yau theorem for Vaisman manifolds
Ornea, Liviu
Verbitsky, Misha
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2024, 32 (10) : 2889 - 2900

← 1 2 3 4 5 →