Additive actions on toric varieties

DOI10.1090/proc/13349zbMath1375.14155arXiv1510.07154OpenAlexW1819937596MaRDI QIDQ2964019

Elena Romaskevich, Ivan V. Arzhantsev

Publication date: 22 February 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07154

zbMATH Keywords

automorphismtoric varietylocally nilpotent derivationCox ringDemazure rootunipotent group

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Derivations and commutative rings (13N15) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (13)

Commutative actions on smooth projective quadrics ⋮ Root subgroups on affine spherical varieties ⋮ \(\mathbb{G}_a^3\)-structures on del Pezzo fibrations ⋮ On uniqueness of additive actions on complete toric varieties ⋮ Stellahedral geometry of matroids ⋮ Fano threefolds as equivariant compactifications of the vector group ⋮ Commutative algebraic monoid structures on affine spaces ⋮ Euler-symmetric complete intersections in projective space ⋮ Smooth nonprojective equivariant completions of affine space ⋮ Additive actions on toric projective hypersurfaces ⋮ Equivariant compactifications of vector groups with high index ⋮ Additive actions on complete toric surfaces ⋮ Euler-symmetric projective toric varieties and additive actions

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