A lockdown survey on cDV singularities
Michael Wemyss
TL;DR
This survey paper reviews recent homological methods applied to compound Du Val (cDV) singularities, highlighting advances in noncommutative resolutions, derived categories, and deformation theory within algebraic geometry.
Contribution
It provides a comprehensive overview of recent developments in homological approaches to cDV singularities, integrating various modern techniques and theories.
Findings
Summarizes recent progress in noncommutative resolutions of cDV singularities.
Highlights the role of derived categories and autoequivalences in understanding these singularities.
Discusses the application of cluster tilting and stability conditions in the classification of cDV singularities.
Abstract
This is an expository survey article on compound Du Val (cDV) singularities, with emphasis on recent homological approaches, including: noncommutative resolutions, tilting theory, contraction algebras, classification, derived categories, autoequivalences, stability conditions, deformation theory, and cluster tilting theory.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra