The universal \(K3\) surface of genus 14 via cubic fourfolds

DOI10.1016/j.matpur.2017.07.014zbMath1458.14053arXiv1607.08260OpenAlexW2963500916MaRDI QIDQ1696015

Gavril Farkas, Alessandro Verra

Publication date: 14 February 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08260

zbMATH Keywords

\(K3\) surfacesrationalitycubic fourfolds

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Rationality questions in algebraic geometry (14E08)

Related Items (7)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Birational geometry of some universal families of \(n\)-pointed Fano fourfolds ⋮ Unirational moduli spaces of some elliptic \(\mathrm{K}3\) surfaces ⋮ Moduli of lattice polarized \(K3\) surfaces via relative canonical resolutions ⋮ The unirationality of the moduli space of \(K3\) surfaces of genus 22 ⋮ Explicit constructions of \(K3\) surfaces and unirational Noether-Lefschetz divisors ⋮ On the irrationality of moduli spaces of K3 surfaces

Uses Software

• KoszulDivisorOnPic14M8

Cites Work

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