scholarly journals Narrow quantum D-modules and quantum Serre duality

2021 ◽  
pp. 1-49
Author(s):  
Mark Shoemaker
Keyword(s):  
D Modules ◽  
Serre Duality

A Primer of Algebraic D-Modules

1995 ◽  
Author(s):  
S. C. Coutinho
Keyword(s):  
D Modules

Holonomic D-Modules with Betti Structures

2014 ◽  
Vol 1 ◽  
pp. 1-205
Author(s):  
Takuro Mochizuki
Keyword(s):  
D Modules

scholarly journals Higher-page Bott–Chern and Aeppli cohomologies and applications

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Dan Popovici ◽  
Jonas Stelzig ◽  
Luis Ugarte
Keyword(s):  
Positive Integer ◽  
Spectral Sequence ◽  
Complex Manifolds ◽  
Serre Duality ◽  
Frölicher Spectral Sequence ◽  
Compact Complex Manifolds

Abstract For every positive integer r, we introduce two new cohomologies, that we call E r {E_{r}} -Bott–Chern and E r {E_{r}} -Aeppli, on compact complex manifolds. When r = 1 {r\kern-1.0pt=\kern-1.0pt1} , they coincide with the usual Bott–Chern and Aeppli cohomologies, but they are coarser, respectively finer, than these when r ≥ 2 {r\geq 2} . They provide analogues in the Bott–Chern–Aeppli context of the E r {E_{r}} -cohomologies featuring in the Frölicher spectral sequence of the manifold. We apply these new cohomologies in several ways to characterise the notion of page- ( r - 1 ) {(r-1)} - ∂ ⁡ ∂ ¯ {\partial\bar{\partial}} -manifolds that we introduced very recently. We also prove analogues of the Serre duality for these higher-page Bott–Chern and Aeppli cohomologies and for the spaces featuring in the Frölicher spectral sequence. We obtain a further group of applications of our cohomologies to the study of Hermitian-symplectic and strongly Gauduchon metrics for which we show that they provide the natural cohomological framework.

Introduction to D-modules

2010 ◽  
pp. 132-155
Author(s):  
Anton Leykin
Keyword(s):  
D Modules

Tempered solutions of D-modules

2016 ◽  
pp. 39-43
Author(s):  
Masaki Kashiwara ◽  
Pierre Schapira
Keyword(s):  
D Modules

scholarly journals $L^{2}$ Serre duality on domains in complex manifolds and applications

2012 ◽  
Vol 364 (7) ◽  
pp. 3529-3554 ◽  
Author(s):  
Debraj Chakrabarti ◽  
Mei-Chi Shaw
Keyword(s):  
Complex Manifolds ◽  
Serre Duality

scholarly journals Serre duality for rigid analytic spaces

1992 ◽  
Vol 3 (2) ◽  
pp. 219-235 ◽  
Author(s):  
Marius van der Put
Keyword(s):  
Serre Duality
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