Spaces of rational curves on complete intersections

DOI10.1112/S0010437X12000504zbMath1278.14067arXiv1101.3797OpenAlexW3102892365MaRDI QIDQ2845018

Roya Beheshti, N. Mohan Kumar

Publication date: 22 August 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3797

zbMATH Keywords

rational curvesHilbert schemehypersurfaces

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Complete intersections (14M10) Hypersurfaces and algebraic geometry (14J70) Rationally connected varieties (14M22)

Related Items (15)

Rational curves on smooth hypersurfaces of low degree ⋮ Geometric consistency of Manin's conjecture ⋮ Positivity results for spaces of rational curves ⋮ Fields of definition of rational curves of a given degree ⋮ Classifying sections of del Pezzo fibrations. I ⋮ Rational curves on general type hypersurfaces ⋮ Desingularization of Kontsevich's compactification of twisted cubics in \(V_5\) ⋮ Geometric Manin’s conjecture and rational curves ⋮ Hypersurfaces with too many rational curves ⋮ Kontsevich spaces of rational curves on Fano hypersurfaces ⋮ A note on rational curves on general Fano hypersurfaces ⋮ On Fano Schemes of Complete Intersections ⋮ Dimension of the space of conics on a Fano hypersurface ⋮ On exceptional sets in Manin's conjecture ⋮ The spaces of rational curves on del Pezzo threefolds of degree one

Cites Work

• Varieties with small dual varieties. I
• Stacks of stable maps and Gromov-Witten invariants

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