Unirationality of moduli spaces of special cubic fourfolds and K3 surfaces

DOI10.14231/AG-2017-015zbMath1386.14024MaRDI QIDQ5275133

Howard J. Nuer

Publication date: 10 July 2017

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

zbMATH Keywords

\(K3\) surfacesHodge theorycubic fourfoldsEnriques surfacesCoble surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) (K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Algebraic moduli problems, moduli of vector bundles (14D20) Rational and birational maps (14E05) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (14)

A note on special cubic fourfolds of small discriminants ⋮ Cubic Fourfolds, K3 Surfaces, and Rationality Questions ⋮ Unirationality of Moduli Spaces of Special Cubic Fourfolds and K3 Surfaces ⋮ Birational geometry of some universal families of \(n\)-pointed Fano fourfolds ⋮ The universal \(K3\) surface of genus 14 via cubic fourfolds ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ Classification and geometric properties of surfaces with property \(\mathbf{N}_{3,3}\) ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ The unirationality of the moduli space of \(K3\) surfaces of genus 22 ⋮ Special cubic birational transformations of projective spaces ⋮ Explicit constructions of \(K3\) surfaces and unirational Noether-Lefschetz divisors ⋮ On some families of Gushel-Mukai fourfolds ⋮ On lattice polarizable cubic fourfolds ⋮ On the irrationality of moduli spaces of K3 surfaces

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