Rational curves on homogeneous varieties.

DOI10.5802/aif.1878zbMath1037.14021OpenAlexW2299229163MaRDI QIDQ5956592

Nicolas Perrin

Publication date: 21 February 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_1_105_0

zbMATH Keywords

fibrationscellular decompositionHilbert scheme of smooth rational curveshomogeneous varietiesmaximal orbit under action of parabolic group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Parametrization (Chow and Hilbert schemes) (14C05) Fibrations, degenerations in algebraic geometry (14D06)

Related Items

Elliptic curves on spinor varieties, Witt groups of Spinor varieties, Minimal bandwidth for \(\mathbb{C}^*\)-actions on generalized Grassmannians, Small codimension subvarieties in homogeneous spaces, Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations, Quantum cohomology of minuscule homogeneous spaces, On the Chow group of zero-cycles of Calabi-Yau hypersurfaces, The moduli space of genus four even spin curves is rational, Moduli spaces of curves and Cox rings, Positivity of Chern classes of Schubert cells and varieties, Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces, On the geometry of spherical varieties, RATIONALITY OF SOME GROMOV–WITTEN VARIETIES AND APPLICATION TO QUANTUM K-THEORY, Quantum Product and Parabolic Orbits in Homogeneous Spaces, Rational curves on minuscule Schubert varieties

Cites Work

• The genus of space curves
• Désingularisation des variétés de Schubert généralisées
• IRREDUCIBILITY OF $\overline{M}_{0,n}(G/P,\beta)$
• Geometric Invariant Theory
• Schémas en groupes réductifs
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