New examples of rational Gushel-Mukai fourfolds

DOI10.1007/s00209-020-02498-5zbMath1450.14006arXiv1910.12838OpenAlexW3100206377MaRDI QIDQ2205612

Michael Hoff, Giovanni Staglianò

Publication date: 21 October 2020

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

Full work available at URL: https://arxiv.org/abs/1910.12838

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

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 ⋮ On cylindrical smooth rational Fano fourfolds ⋮ Some new rational Gushel fourfolds ⋮ Explicit constructions of \(K3\) surfaces and unirational Noether-Lefschetz divisors ⋮ On some families of Gushel-Mukai fourfolds

Uses Software

• Macaulay2

Cites Work

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• Derived Categories View on Rationality Problems

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