A note on Serre duality and equivariantization

Xiao-Wu Chen

A note on Serre duality and equivariantization

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arxiv 1409.6864 v1 pith:C2VRAQAY submitted 2014-09-24 math.RA math.AGmath.RT

Xiao-Wu Chen This is my paper · ORCID

classification math.RAmath.AGmath.RT

keywords dualityserrecategoryabelianequivariantizationactioncasescompute

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For an abelian category with a Serre duality and a finite group action, we compute explicitly the Serre duality on the category of equivariant objects. Special cases and examples are discussed. In particular, an abelian category with a periodic Serre duality and its equivariantization are studied.

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Geometric-combinatorial approaches to tilting theory for weighted projective lines
math.RT 2025-01 conditional novelty 6.0 of 10

Indecomposable sheaves on the weighted projective line (2,2,n) are bijectively drawn as skew-curves on a symmetric cylinder, with pseudo-triangulations corresponding exactly to tilting sheaves and flips to mutations.

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