Nodal quintic surfaces and lines on cubic fourfolds (with an appendix by John Christian Ottem)

DOI10.4171/LEM/1063MaRDI QIDQ6618784

D. Huybrechts

Publication date: 15 October 2024

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

cubic fourfoldFano variety of linesnodal quintic

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) (4)-folds (14J35) Complete intersections (14M10) Surfaces of general type (14J29) Algebraic cycles (14C25) Hypersurfaces and algebraic geometry (14J70) (Equivariant) Chow groups and rings; motives (14C15) Torelli problem (14C34)

Cites Work

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• Hodge theory and derived categories of cubic fourfolds
• Prym-Tjurin constructions on cubic hypersurfaces
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications
• Singularities and topology of hypersurfaces
• The Hilbert modular group for the field \(\mathbb Q(\sqrt{13})\)
• L'application canonique pour les surfaces de type général
• Cohomological and cycle-theoretic connectivity
• On surfaces of general type with \(K^2 = 2\chi-2\) and nontrivial torsion
• Sul sistema \(\infty^2\) di rette contenuto in una varietà cubica generale dello spazio a quattro dimensioni.
• On the moduli space of diffeomorphic algebraic surfaces
• Motives of derived equivalent \(K3\) surfaces
• Hyperelliptic surfaces of general type with \(K^ 2<4\chi\)
• The torsion of the group of 0-cycles modulo rational equivalence
• Local contributions to global deformations of surfaces
• The transcendental motive of a cubic fourfold
• A computation of invariants of a rational self-map
• Remarks on motives of abelian type
• Sur quelques points d'algèbre homologique
• Lectures on K3 Surfaces
• Variétés de Prym et jacobiennes intermédiaires
• A Prym Construction for the Cohomology of a Cubic Hypersurface
• Motives and representability of algebraic cycles on threefolds over a field
• One-cycles on rationally connected varieties
• On relations among 1-cycles on cubic hypersurfaces
• The Geometry of Cubic Hypersurfaces
• Algebraic \(K\)-theory.

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