scholarly journals Koszul Duality and Mixed Hodge Modules

2013 ◽  
Vol 2014 (21) ◽  
pp. 5874-5911 ◽  
Author(s):  
Pramod N. Achar ◽  
Sarah Kitchen
Keyword(s):  
Koszul Duality ◽  
Mixed Hodge Modules

scholarly journals Affine category O, Koszul duality and Zuckerman functors

2021 ◽  
Vol 390 ◽  
pp. 107921
Author(s):  
Ruslan Maksimau
Keyword(s):  
Koszul Duality ◽  
Category O

scholarly journals KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

2010 ◽  
Vol 89 (1) ◽  
pp. 23-49 ◽  
Author(s):  
VOLODYMYR MAZORCHUK
Keyword(s):  
Complete Picture ◽  
Projective Modules ◽  
Koszul Duality ◽  
Tilting Theory

AbstractWe give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.

Erratum to ?Koszul duality for operads,? vol. 76 (1994) pp. 203?272

1995 ◽  
Vol 80 (1) ◽  
pp. 293-293 ◽  
Author(s):  
V. Ginzburg ◽  
M. Kapranov
Keyword(s):  
Koszul Duality

Koszul Duality I

2020 ◽  
pp. 513-527
Author(s):  
Ben Elias ◽  
Shotaro Makisumi ◽  
Ulrich Thiel ◽  
Geordie Williamson
Keyword(s):  
Koszul Duality

scholarly journals Kodaira–Saito vanishing via Higgs bundles in positive characteristic

2019 ◽  
Vol 2019 (755) ◽  
pp. 293-312
Author(s):  
Donu Arapura
Keyword(s):  
Positive Characteristic ◽  
Hodge Structure ◽  
Higgs Bundles ◽  
Vanishing Theorem ◽  
Variation Of Hodge Structure ◽  
Mixed Hodge Modules ◽  
Special Case

AbstractThe goal of this paper is to give a new proof of a special case of the Kodaira–Saito vanishing theorem for a variation of Hodge structure on the complement of a divisor with normal crossings. The proof does not use the theory of mixed Hodge modules, but instead reduces it to a more general vanishing theorem for semistable nilpotent Higgs bundles, which is then proved by using some facts about Higgs bundles in positive characteristic.

Koszul Duality of Operads

2012 ◽  
pp. 229-262
Author(s):  
Jean-Louis Loday ◽  
Bruno Vallette
Keyword(s):  
Koszul Duality
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