scholarly journals Ortho-symmetric Modules, Gorenstein Algebras, and Derived Equivalences

2016 ◽  
pp. rnv368 ◽  
Author(s):  
Hongxing Chen ◽  
Steffen Koenig
Keyword(s):  
Gorenstein Algebras ◽  
Derived Equivalences

scholarly journals Derived equivalences and Gorenstein algebras

2007 ◽  
Vol 211 (1) ◽  
pp. 55-69 ◽  
Author(s):  
Hiroki Abe ◽  
Mitsuo Hoshino
Keyword(s):  
Gorenstein Algebras ◽  
Derived Equivalences

scholarly journals Derived equivalences and Serre duality for Gorenstein algebras

2009 ◽  
Vol 213 (11) ◽  
pp. 2156-2166
Author(s):  
Hiroki Abe ◽  
Mitsuo Hoshino
Keyword(s):  
Gorenstein Algebras ◽  
Derived Equivalences ◽  
Serre Duality

scholarly journals Liftable derived equivalences and objective categories

2020 ◽  
Vol 52 (5) ◽  
pp. 816-834
Author(s):  
Xiaofa Chen ◽  
Xiao‐Wu Chen
Keyword(s):  
Derived Equivalences

scholarly journals A note on the subadditivity of Syzygies

2016 ◽  
Vol 16 (09) ◽  
pp. 1750177 ◽  
Author(s):  
Sabine El Khoury ◽  
Hema Srinivasan
Keyword(s):  
Free Resolution ◽  
Graded Algebra ◽  
Gorenstein Algebras

Let [Formula: see text] be a graded algebra with [Formula: see text] and [Formula: see text] being the minimal and maximal shifts in the minimal graded free resolution of [Formula: see text] at degree [Formula: see text]. We prove that [Formula: see text] for all [Formula: see text]. As a consequence, we show that for Gorenstein algebras of codimension [Formula: see text], the subadditivity of maximal shifts [Formula: see text] in the minimal graded free resolution holds for [Formula: see text], i.e. we show that [Formula: see text] for [Formula: see text].

scholarly journals Double Hall algebras and derived equivalences

2010 ◽  
Vol 224 (3) ◽  
pp. 1097-1120 ◽  
Author(s):  
Tim Cramer
Keyword(s):  
Hall Algebras ◽  
Derived Equivalences

scholarly journals Perverse Schobers and Wall Crossing

2017 ◽  
Vol 2019 (18) ◽  
pp. 5777-5810 ◽  
Author(s):  
W Donovan
Keyword(s):  
Invariant Theory ◽  
Local System ◽  
Vector Spaces ◽  
Geometric Invariant ◽  
Perverse Sheaf ◽  
Derived Equivalences ◽  
Grothendieck Groups ◽  
Wall Crossing ◽  
Git Quotient ◽  
Cohomology Complex

Abstract For a balanced wall crossing in geometric invariant theory (GIT), there exist derived equivalences between the corresponding GIT quotients if certain numerical conditions are satisfied. Given such a wall crossing, I construct a perverse sheaf of categories on a disk, singular at a point, with half-monodromies recovering these equivalences, and with behaviour at the singular point controlled by a GIT quotient stack associated to the wall. Taking complexified Grothendieck groups gives a perverse sheaf of vector spaces: I characterize when this is an intersection cohomology complex of a local system on the punctured disk.

Gorenstein derived equivalences and their invariants

2014 ◽  
Vol 218 (5) ◽  
pp. 888-903 ◽  
Author(s):  
Javad Asadollahi ◽  
Rasool Hafezi ◽  
Razieh Vahed
Keyword(s):  
Derived Equivalences

scholarly journals Auslander–Gorenstein algebras and precluster tilting

2018 ◽  
Vol 326 ◽  
pp. 200-240 ◽  
Author(s):  
Osamu Iyama ◽  
Øyvind Solberg
Keyword(s):  
Gorenstein Algebras

scholarly journals p-Adic lifting problems and derived equivalences

2012 ◽  
Vol 356 (1) ◽  
pp. 90-114 ◽  
Author(s):  
Florian Eisele
Keyword(s):  
Derived Equivalences
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