Cubic Fourfolds, K3 Surfaces, and Rationality Questions

DOI10.1007/978-3-319-46209-7_2zbMath1454.14111arXiv1601.05501OpenAlexW2307393813MaRDI QIDQ5283141

Brendan Hassett

Publication date: 19 July 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05501

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) (K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Rationality questions in algebraic geometry (14E08)

Related Items (24)

Some non-special cubic fourfolds ⋮ Birational geometry of some universal families of \(n\)-pointed Fano fourfolds ⋮ New cubic fourfolds with odd-degree unirational parametrizations ⋮ Rationality and specialization ⋮ Local to global principle for the moduli space of K3 surfaces ⋮ On the period of Lehn, Lehn, Sorger, and van Straten's symplectic eightfold ⋮ Zeta functions of nondegenerate hypersurfaces in toric varieties via controlled reduction in \(p\)-adic cohomology ⋮ New examples of rational Gushel-Mukai fourfolds ⋮ Non rationalité stable sur les corps quelconques ⋮ Some loci of rational cubic fourfolds ⋮ The transcendental motive of a cubic fourfold ⋮ Cremona transformations and derived equivalences of K3 surfaces ⋮ The generalized Franchetta conjecture for some hyperkähler fourfolds ⋮ Homological mirror symmetry for generalized Greene-Plesser mirrors ⋮ Some new rational Gushel fourfolds ⋮ Special cubic birational transformations of projective spaces ⋮ Algebraic cycles and very special cubic fourfolds ⋮ 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 some families of Gushel-Mukai fourfolds ⋮ On lattice polarizable cubic fourfolds ⋮ Cubic fourfolds with an involution ⋮ On the irrationality of moduli spaces of K3 surfaces

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