Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over \(\mathbb{P} (1, 2, 3)\)

DOI10.4171/EMSS/43zbMath1481.13018arXiv1812.02594MaRDI QIDQ1983975

Miles Reid, Jan Stevens, Gavin D. Brown

Publication date: 13 September 2021

Published in: EMS Surveys in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02594

zbMATH Keywords

deformationsPfaffiansunprojectioncodimension 4 Gorenstein ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Deformations of singularities (14B07)

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Del Pezzo surfaces with a single \(1/k(1,1)\) singularity ⋮ Constructing homogeneous Gorenstein ideals ⋮ Deformations and Extensions of Gorenstein Weighted Projective Spaces ⋮ Singularities. Abstracts from the workshop held September 26 -- October 2, 2021 (hybrid meeting)

Cites Work

• Constructing big Gorenstein ideals from small ones
• Implementing the Kustin-Miller complex construction
• Gorenstein in codimension 4 - the general structure theory
• Polarized Calabi-Yau 3-folds in codimension 4
• Fano 3-folds in codimension 4, Tom and Jerry. Part I
• Les singularités simples elliptiques, leurs déformations, les surfaces de del Pezzo et les transformations quadratiques
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• One-parameter families containing three-dimensional toric Gorenstein singularities
• Kustin--Miller unprojection with complexes