scholarly journals Vanishing theorems for perverse sheaves on abelian varieties, revisited

2017 ◽  
Vol 24 (1) ◽  
pp. 63-84 ◽  
Author(s):  
Bhargav Bhatt ◽  
Christian Schnell ◽  
Peter Scholze
Keyword(s):  
Abelian Varieties ◽  
Vanishing Theorems ◽  
Perverse Sheaves

scholarly journals Perverse sheaves on semi-abelian varieties—a survey of properties and applications

2019 ◽  
Vol 6 (3) ◽  
pp. 977-997
Author(s):  
Yongqiang Liu ◽  
Laurentiu Maxim ◽  
Botong Wang
Keyword(s):  
Abelian Varieties ◽  
Perverse Sheaves

scholarly journals Perverse sheaves on semi-abelian varieties

2021 ◽  
Vol 27 (2) ◽  
Author(s):  
Yongqiang Liu ◽  
Laurentiu Maxim ◽  
Botong Wang
Keyword(s):  
Abelian Varieties ◽  
Perverse Sheaves

scholarly journals Vanishing theorems for constructible sheaves on abelian varieties

2015 ◽  
Vol 24 (3) ◽  
pp. 531-568 ◽  
Author(s):  
Thomas Krämer ◽  
Rainer Weissauer
Keyword(s):  
Abelian Varieties ◽  
Vanishing Theorems ◽  
Constructible Sheaves

scholarly journals ON VANISHING THEOREMS FOR LOCAL SYSTEMS ASSOCIATED TO LAURENT POLYNOMIALS

2017 ◽  
Vol 231 ◽  
pp. 1-22 ◽  
Author(s):  
ALEXANDER ESTEROV ◽  
KIYOSHI TAKEUCHI
Keyword(s):  
Morse Theory ◽  
Hypergeometric Functions ◽  
Vanishing Theorems ◽  
Cohomology Groups ◽  
Laurent Polynomials ◽  
Perverse Sheaves ◽  
Local Systems ◽  
Vanishing Cycles

We prove some vanishing theorems for the cohomology groups of local systems associated to Laurent polynomials. In particular, we extend one of the results of Gelfand et al.[Generalized Euler integrals and$A$-hypergeometric functions, Adv. Math.84(1990), 255–271] to various directions. In the course of the proof, some properties of vanishing cycles of perverse sheaves and twisted Morse theory are used.

Analytic Theory of Abelian Varieties

1974 ◽  
Author(s):  
H. P. F. Swinnerton-Dyer
Keyword(s):  
Abelian Varieties ◽  
Analytic Theory

scholarly journals Classification of nonrigid families of abelian varieties

1993 ◽  
Vol 45 (2) ◽  
pp. 159-189
Author(s):  
Masa-Hiko Saitō
Keyword(s):  
Abelian Varieties
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