On Fano complete intersections in rational homogeneous varieties

DOI10.1007/s00209-019-02351-4zbMath1472.14049arXiv1808.01549OpenAlexW2954712024MaRDI QIDQ2182412

Laurent Manivel, Baohua Fu, Chenyu Bai

Publication date: 23 May 2020

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01549

zbMATH Keywords

complete intersectionFano varietiesrational homogeneous varieties

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20) Complete intersections (14M10) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20) Hypersurfaces and algebraic geometry (14J70)

Related Items (4)

Kähler-Einstein metrics on Pasquier's two-orbits varieties ⋮ On moment map and bigness of tangent bundles of \(G\)-varieties ⋮ Topics on the geometry of rational homogeneous spaces ⋮ On the automorphisms of Mukai varieties

Cites Work

• Homogeneous vector bundles
• Equivariant completions of homogeneous algebraic varieties by homogeneous divisors
• A cohomological characterization of \({\mathbb{P}}^ n\)
• Geometrical description of smooth projective symmetric varieties with Picard number one
• Local rigidity of quasi-regular varieties
• Automorphismes et déformations des variétés de Borel
• Isotrivial VMRT-structures of complete intersection type
• Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity
• Prolongations of infinitesimal linear automorphisms of projective varieties and rigidity of rational homogeneous spaces of Picard number 1 under Kähler deformation
• The automorphism group of linear sections of the Grassmannians \(\mathbb G (1,N)\)
• Classification of irreducible holonomies of torsion-free affine connections
• On some smooth projective two-orbit varieties with Picard number 1
• Principal orbit types for algebraic transformation spaces in characteristic zero
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• On linear sections of the spinor tenfold. I
• Special birational transformations of type (2,1)
• The projective geometry of Freudenthal's magic square.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Fano complete intersections in rational homogeneous varieties