Kodaira dimension of moduli of special cubic fourfolds

DOI10.1515/crelle-2016-0053zbMath1439.14118arXiv1509.01562OpenAlexW2963018475MaRDI QIDQ2001378

Anthony Várilly-Alvarado, Sho Tanimoto

Publication date: 3 July 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01562

zbMATH Keywords

Kodaira dimensioncusp formslattice embeddingsorthogonal modular varietiesspecial cubic fourfolds

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Families, moduli, classification: algebraic theory (14J10)

Related Items (11)

On the Kodaira dimension of orthogonal modular varieties ⋮ The universal \(K3\) surface of genus 14 via cubic fourfolds ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ Kodaira dimension of moduli of special \(K3^{[2}\)-fourfolds of degree 2] ⋮ Hodge Theory of Cubic Fourfolds, Their Fano Varieties, and Associated K3 Categories ⋮ ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES ⋮ Arithmetic of K3 Surfaces ⋮ The Kodaira dimension of some moduli spaces of elliptic K3 surfaces ⋮ Cycles, derived categories, and rationality ⋮ On some families of Gushel-Mukai fourfolds ⋮ Hyper-Kähler manifolds

Uses Software

• Magma

Cites Work

• Hodge theory and derived categories of cubic fourfolds
• Moduli spaces of polarized symplectic O'Grady varieties and Borcherds products
• The moduli space of cubic fourfolds via the period map
• Some aspects of the Hodge conjecture
• The period map for cubic fourfolds
• Three constructions of rationality of a four-dimensional cubic
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• An explicit formula for local densities of quadratic forms
• The Magma algebra system. I: The user language
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• The Kodaira dimension of the moduli of \(K3\) surfaces
• New cubic fourfolds with odd-degree unirational parametrizations
• Modular forms and special cubic fourfolds
• Compactification of arithmetic quotients of bounded symmetric domains
• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
• Moduli spaces of irreducible symplectic manifolds
• Low-dimensional lattices. I. Quadratic forms of small determinant
• Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces
• Brauer Groups on K3 Surfaces and Arithmetic Applications
• The K3 category of a cubic fourfold
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Kodaira dimension of moduli of special cubic fourfolds