Non-commutative deformations of simple objects in a category of perverse coherent sheaves

DOI10.1007/s00029-020-00570-wzbMath1440.14089arXiv1806.04858OpenAlexW3036683364MaRDI QIDQ785603

Yujiro Kawamata

Publication date: 7 August 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04858

zbMATH Keywords

contractiontilting bundleBondal-Rickard equivalencenon-commutative deformationperverse coherent sheafsimple collection

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Derived categories and associative algebras (16E35) Derived categories and commutative rings (13D09) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (2)

A lockdown survey on cDV singularities ⋮ Non-commutative deformations of perverse coherent sheaves and rational curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(\mathrm{GL}(2,{\mathbb{C}}\)) McKay correspondence
• Contraction algebra and singularity of three-dimensional flopping contraction
• Three-dimensional flops and noncommutative rings
• Noncommutative deformations and flops
• The infinitesimal Abel-Jacobi mapping and moving the \({\mathcal O}(2)+{\mathcal O}(-4)\) curve
• Isotopic types of nonsingular surfaces of fourth degree in \(\mathbb{R} P^3\)
• Intersection homology theory
• \(D\)-equivalence and \(K\)-equivalence
• Flops and derived categories.
• Birational geometry and derived categories
• Moduli stacks of semistable sheaves and representations of Ext-quivers
• Noncommutative enhancements of contractions
• Twists and braids for general 3-fold flops
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• Homologically Homogeneous Rings
• ON THE DERIVED CATEGORY OF COHERENT SHEAVES ON GRASSMANN MANIFOLDS
• Morita Theory for Derived Categories
• On multi-pointed non-commutative deformations and Calabi–Yau threefolds
• Contraction algebra and invariants of singularities
• Contractions and deformations

This page was built for publication: Non-commutative deformations of simple objects in a category of perverse coherent sheaves