Lightning Introduction to Perverse Sheaves

2020 ◽  
pp. 315-331
Author(s):  
Ben Elias ◽  
Shotaro Makisumi ◽  
Ulrich Thiel ◽  
Geordie Williamson
Keyword(s):  
Perverse Sheaves

Explicit Models for Perverse Sheaves, II

2007 ◽  
Vol 11 (2) ◽  
pp. 149-178 ◽  
Author(s):  
F. Gudiel-Rodríguez ◽  
L. Narváez-Macarro
Keyword(s):  
Perverse Sheaves

Perverse sheaves on rank stratifications

1999 ◽  
Vol 96 (2) ◽  
pp. 317-362 ◽  
Author(s):  
Tom Braden ◽  
Mikhail Grinberg
Keyword(s):  
Perverse Sheaves

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 Irregular perverse sheaves

2021 ◽  
Vol 157 (3) ◽  
pp. 573-624
Author(s):  
Tatsuki Kuwagaki
Keyword(s):  
Abelian Category ◽  
Derived Category ◽  
Perverse Sheaves ◽  
Algebraic Version ◽  
Constructible Sheaves ◽  
Straightforward Generalization ◽  
Novikov Ring

We introduce irregular constructible sheaves, which are ${\mathbb {C}}$-constructible with coefficients in a finite version of the Novikov ring $\Lambda$ and special gradings. We show that the bounded derived category of cohomologically irregular constructible complexes is equivalent to the bounded derived category of holonomic ${\mathcal {D}}$-modules by a modification of D’Agnolo and Kashiwara's irregular Riemann–Hilbert correspondence. The bounded derived category of cohomologically irregular constructible complexes is equipped with the irregular perverse $t$-structure, which is a straightforward generalization of usual perverse $t$-structure, and we prove that its heart is equivalent to the abelian category of holonomic ${\mathcal {D}}$-modules. We also develop the algebraic version of the theory.

scholarly journals $\mathbf {Z}/m$-graded Lie algebras and perverse sheaves, IV

2020 ◽  
Vol 24 (12) ◽  
pp. 360-396
Author(s):  
George Lusztig ◽  
Zhiwei Yun
Keyword(s):  
Lie Algebras ◽  
Perverse Sheaves ◽  
Graded Lie Algebras

Perverse Sheaves

1994 ◽  
pp. 163-173
Author(s):  
A. I. Kostrikin ◽  
I. R. Shafarevich
Keyword(s):  
Perverse Sheaves

scholarly journals Witt groups of abelian categories and perverse sheaves

2019 ◽  
Vol 4 (4) ◽  
pp. 621-670
Author(s):  
Jörg Schürmann ◽  
Jonathan Woolf
Keyword(s):  
Perverse Sheaves ◽  
Abelian Categories ◽  
Witt Groups
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