Hassett-Tschinkel correspondence: Modality and projective hypersurfaces

DOI10.1016/j.jalgebra.2011.09.026zbMath1248.14053arXiv0912.1474OpenAlexW2962998283MaRDI QIDQ411761

Ivan V. Arzhantsev, Elena V. Sharoyko

Publication date: 30 April 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1474

zbMATH Keywords

modalityprojective quadriclocal algebraunipotent group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Local rings and semilocal rings (13H99)

Related Items (17)

Commutative actions on smooth projective quadrics ⋮ Additive actions on hyperquadrics of corank two ⋮ Hilbert-Samuel sequences of homogeneous finite type ⋮ On uniqueness of additive actions on complete toric varieties ⋮ Degenerate flag varieties of type A: Frobenius splitting and BW theorem ⋮ Equivariant compactifications of a nilpotent group by \(G/P\) ⋮ Additive Actions on Projective Hypersurfaces ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ Gorenstein algebras and uniqueness of additive actions ⋮ Additive actions on toric varieties ⋮ \({\mathbb{G}_a^M}\) degeneration of flag varieties ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ Additive actions on toric projective hypersurfaces ⋮ Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$ ⋮ Additive actions on complete toric surfaces ⋮ Euler-symmetric projective toric varieties and additive actions

Cites Work

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• \({\mathbb{G}_a^M}\) degeneration of flag varieties
• Homogeneous spaces and equivariant embeddings
• Plongements d'espaces homogènes
• Polyhedral divisors and algebraic torus actions
• Gluing affine torus actions via divisorial fans
• Pairs of commuting nilpotent matrices, and Hilbert function
• Generic finite schemes and Hochschild cocycles
• Lifting of morphisms to quotient presentations
• Flag varieties as equivariant compactifications of $\mathbb{G}_{a}^{n}$
• Introduction to Toric Varieties. (AM-131)
• Punctual Hilbert schemes
• Hassett-Tschinkel correspondence and automorphisms of the quadric

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