The moduli space of cubic threefolds

DOI10.1090/S1056-3911-02-00313-2zbMath1080.14531OpenAlexW1979390648MaRDI QIDQ4707533

Daniel Allcock

Publication date: 2003

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-02-00313-2

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) (3)-folds (14J30) Families, moduli, classification: algebraic theory (14J10) Fine and coarse moduli spaces (14D22)

Related Items (21)

On the moduli space of pairs consisting of a cubic threefold and a hyperplane ⋮ Arithmetic Torelli maps for cubic surfaces and threefolds ⋮ Log canonical models and variation of GIT for genus 4 canonical curves ⋮ Cubic threefolds and hyperkähler manifolds uniformized by the 10-dimensional complex ball ⋮ On the $(n+3)$-webs by rational curves induced by the forgetful maps on the moduli spaces $\mathcal M_{0,n+3}$ ⋮ Kähler-Einstein Metrics via Moduli Continuity Method ⋮ Braid groups and Hodge theory ⋮ On a smoothness characterization for good moduli spaces ⋮ A note on the semistability of singular projective hypersurfaces ⋮ Singularities of ball quotients ⋮ Variations of geometric invariant quotients for pairs, a computational approach ⋮ Compactifications defined by arrangements. I: The ball quotient case. ⋮ Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds ⋮ Compact moduli spaces of Kähler-Einstein Fano varieties ⋮ The moduli space of cubic fourfolds via the period map ⋮ The moduli space of cubic threefolds as a ball quotient ⋮ The moduli space of cubic fourfolds ⋮ The period map for cubic fourfolds ⋮ A division theorem for nodal projective hypersurfaces ⋮ \(K\)-stability of cubic threefolds ⋮ Cohomology of the Moduli Space of Cubic Threefolds and Its Smooth Models

Uses Software

• gmp

Cites Work

• Lectures on introduction to moduli problems and orbit spaces
• A complete moduli space for K3 surfaces of degree 2
• Stability of pencils of quadrics in \(\mathbb{P}^4\)
• The complex hyperbolic geometry of the moduli space of cubic surfaces
• Degenerations of K3 Surfaces of Degree 4
• On the Stability of Pencils of Cubic Curves
• On the Classification of Cubic Surfaces
• Geometric Invariant Theory
• Orbits of linear algebraic groups

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