Remarks on the \(\mathrm{CH}_2\) of cubic hypersurfaces

DOI10.1007/s10711-018-0355-0zbMath1439.14053arXiv1701.04488OpenAlexW2963569469MaRDI QIDQ2417644

René Mboro

Publication date: 12 June 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04488

zbMATH Keywords

hypersurfacesalgebraic cyclesalgebraic geometryrationality problemsbirational invariants

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Complete intersections (14M10) Algebraic cycles (14C25) Rationality questions in algebraic geometry (14E08)

Related Items (2)

On automorphisms of Hilbert squares of smooth hypersurfaces ⋮ 2-cycles on the cubic hypersurfaces of dimension 5

Cites Work

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• 2-cycles on higher Fano hypersurfaces
• Divided powers in Chow rings and integral Fourier transforms
• Some aspects of the Hodge conjecture
• Torsion dans le groupe de Chow de codimension deux
• On the cylinder homomorphism for a family of algebraic cycles
• Fano-varieties of lines on hypersurfaces
• Variétés unirationelles non rationelles: Au-delà de l'exemple d'Artin et Mumford. (Non rational unirational varieties: Beyond the Artin-Mumford example)
• On the variety of linear spaces contained in a complete intersection
• Chow groups of projective varieties of very small degree
• The torsion of the group of 0-cycles modulo rational equivalence
• Unramified cohomology of quadrics. II.
• The Abel-Jacobi map for cubic threefold and periods of Fano threefolds of degree \(14\)
• Rationality, universal generation and the integral Hodge conjecture
• Unramified cohomology and the entire Hodge conjecture
• The intermediate Jacobian of the cubic threefold
• On quasi algebraic closure
• THE INTEGRAL COHOMOLOGY OF THE HILBERT SCHEME OF TWO POINTS
• Remarks on Correspondences and Algebraic Cycles
• Complete Intersections and Connectedness
• Gersten's conjecture and the homology of schemes
• Variétés de Prym et jacobiennes intermédiaires
• Remarques sur les groupes de Chow des hypersurfaces de petit degré
• Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles
• One-cycles on rationally connected varieties
• On relations among 1-cycles on cubic hypersurfaces
• Remarks on curve classes on rationally connected varieties
• Smoothing of Algebraic Cycles of Small Dimensions
• Some Elementary Examples of Unirational Varieties Which are Not Rational

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