One-cycles on rationally connected varieties
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Publication:5415171
DOI10.1112/S0010437X13007549zbMath1304.14067arXiv1209.4342MaRDI QIDQ5415171
Publication date: 12 May 2014
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.4342
Related Items (20)
On the universal \(\mathrm{CH}_0\) group of cubic hypersurfaces ⋮ Moduli spaces of rational curves on Fano threefolds ⋮ Integral Hodge Classes, Decompositions of the Diagonal, and Rationality Questions ⋮ Remarks on the \(\mathrm{CH}_2\) of cubic hypersurfaces ⋮ On the space of conics on complete intersections ⋮ Some aspects of rational points and rational curves ⋮ One-cycles on Gushel-Mukai fourfolds and the Beauville-Voisin filtration ⋮ Chow groups of Gushel-Mukai fivefolds ⋮ Geometric Manin’s conjecture and rational curves ⋮ Algebraic cycles and Verra fourfolds ⋮ Birational Invariants and Decomposition of the Diagonal ⋮ A note on 1-cycles on the moduli space of rank-2 bundles over a curve ⋮ The transcendental motive of a cubic fourfold ⋮ 2-cycles on higher Fano hypersurfaces ⋮ Lines on cubic hypersurfaces ⋮ The tight approximation property ⋮ \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey ⋮ \(\mathbb{A}^1\)-curves on log smooth varieties ⋮ On rational connectedness of globally \(F\)-regular threefolds ⋮ On the action of symplectic automorphisms on the \(\mathrm{CH}_0\)-groups of some hyper-Kähler fourfolds
Cites Work
- Holomorphic and pseudo-holomorphic curves on rationally connected varieties
- Anticanonical divisors and curve classes on Fano manifolds
- Stacks of stable maps and Gromov-Witten invariants
- Fundamental divisors on Fano varieties of index \(n - 3\)
- The irreducibility of the space of curves of a given genus
- Hurwitz schemes and irreducibility of moduli of algebraic curves
- Complete Intersections and Connectedness
- Gersten's conjecture and the homology of schemes
- Every rationally connected variety over the function field of a curve has a rational point
- Families of rationally connected varieties
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