The unirationality of the moduli space of \(K3\) surfaces of genus 22

DOI10.1007/s00208-020-02036-yzbMath1492.14061arXiv1910.10123OpenAlexW3042183561MaRDI QIDQ2049943

Alessandro Verra, Gavril Farkas

Publication date: 27 August 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.10123

zbMATH Keywords

\(K3\) surfaceunirationalitycubic fourfoldgenus 22moduli space of polarized \(K3\) surfaces

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) Families, moduli, classification: algebraic theory (14J10)

Related Items (6)

Birational geometry of some universal families of \(n\)-pointed Fano fourfolds ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ Unirational moduli spaces of some elliptic \(\mathrm{K}3\) surfaces ⋮ Explicit constructions of \(K3\) surfaces and unirational Noether-Lefschetz divisors ⋮ On some families of Gushel-Mukai fourfolds ⋮ On the irrationality of moduli spaces of K3 surfaces

Cites Work

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• Some loci of rational cubic fourfolds
• The Noether-Lefschetz conjecture and generalizations
• The Kodaira dimension of the moduli of \(K3\) surfaces
• New cubic fourfolds with odd-degree unirational parametrizations
• Congruences of 5-secant conics and the rationality of some admissible cubic fourfolds
• Derived Categories of Cubic Fourfolds
• Koszul divisors on moduli spaces of curves
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• On the Period Map for Polarized Hyperkähler Fourfolds
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• Rational curves on holomorphic symplectic fourfolds.
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