Some loci of rational cubic fourfolds

DOI10.1007/s00208-018-1707-7zbMath1460.14089arXiv1504.05863OpenAlexW2963143235WikidataQ129727008 ScholiaQ129727008MaRDI QIDQ1741817

Michele Bolognesi, Giovanni Staglianò, Francesco Russo

Publication date: 7 May 2019

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

Full work available at URL: https://arxiv.org/abs/1504.05863

zbMATH Keywords

Fano varietyrationalitycubic fourfolds

Mathematics Subject Classification ID

(4)-folds (14J35) (n)-folds ((n>4)) (14J40) Rationality questions in algebraic geometry (14E08)

Related Items (17)

A note on special cubic fourfolds of small discriminants ⋮ Birational geometry of some universal families of \(n\)-pointed Fano fourfolds ⋮ On the unirationality of quadric bundles ⋮ Quartic and Quintic Hypersurfaces with Dense Rational Points ⋮ The universal \(K3\) surface of genus 14 via cubic fourfolds ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ New examples of rational Gushel-Mukai fourfolds ⋮ The transcendental motive of a cubic fourfold ⋮ Variety of power sums and divisors in the moduli space of cubic fourfolds ⋮ The unirationality of the moduli space of \(K3\) surfaces of genus 22 ⋮ Some new rational Gushel fourfolds ⋮ Special cubic birational transformations of projective spaces ⋮ Cycles, derived categories, and rationality ⋮ Rational cubic fourfolds in Hassett divisors ⋮ Hilbert schemes of two points on K3 surfaces and certain rational cubic fourfolds ⋮ On lattice polarizable cubic fourfolds ⋮ Cubic fourfolds with an involution

Uses Software

• Macaulay2

Cites Work

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• Determinantal hypersurfaces.

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