Singularities of Fano varieties of lines on singular cubic fourfolds

DOI10.2969/jmsj/82688268OpenAlexW3177972872MaRDI QIDQ2134218

Ryo Yamagishi

Publication date: 6 May 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03546

zbMATH Keywords

degenerationcubic fourfoldssymplectic varieties

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fibrations, degenerations in algebraic geometry (14D06)

Uses Software

• Book3264Examples

Cites Work

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• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• Poisson deformations of affine symplectic varieties
• Twisted cubics on singular cubic fourfolds -- on Starr's fibration
• On two rationality conjectures for cubic fourfolds
• The moduli space of cubic fourfolds via the period map
• The period map for cubic fourfolds
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Small contractions of symplectic 4-folds
• Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties
• On K3 surfaces with large Picard number
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Symplectic singularities
• Collapsing \(K3\) surfaces, tropical geometry and moduli compactifications of Satake, Morgan-Shalen type
• Prime exceptional divisors on holomorphic symplectic varieties and monodromy reflections
• Twisted cubics on cubic fourfolds
• 4-dimensional symplectic contractions
• On monodromies of a degeneration of irreducible symplectic Kähler manifolds
• Poisson deformations and birational geometry
• 3264 and All That
• The Automorphism Group of the Hilbert Scheme of Two Points on a Generic Projective K3 Surface
• Extremal Rays and Automorphisms of Holomorphic Symplectic Varieties
• Lagrangian embeddings of cubic fourfolds containing a plane
• Symplectic Automorphisms and the Picard Group of a K3 Surface
• A survey of Torelli and monodromy results for holomorphic-symplectic varieties
• Slodowy slices and universal Poisson deformations
• Lectures on K3 Surfaces
• Symplectic singularities from the Poisson point of view
• IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)^[2]
• The moduli space of cubic fourfolds
• Contractions of symplectic varieties
• Punctual Hilbert schemes for Kleinian singularities as quiver varieties
• On the Period Map for Polarized Hyperkähler Fourfolds
• Arithmetically Cohen–Macaulay Bundles on Cubic Fourfolds Containing a Plane
• The K3 category of a cubic fourfold
• Algebraic Families on an Algebraic Surface
• Deformation theory of singular symplectic \(n\)-folds