Integral closure and operations of algebraic tori of complexity 1 in affine varieties

DOI10.1007/s00031-013-9229-6zbMath1286.13003OpenAlexW2005403964MaRDI QIDQ367142

Kevin Langlois

Publication date: 26 September 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-013-9229-6

zbMATH Keywords

complexitynormalityRees algebraintegral closurealgebraic toruspolyhedral divisor

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Integral closure of commutative rings and ideals (13B22) Classification of affine varieties (14R05) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Group actions on affine varieties (14R20)

Related Items (5)

Khovanskii-finite valuations, rational curves, and torus actions ⋮ On the classification of normal \(G\)-varieties with spherical orbits ⋮ Polyhedral divisors and torus actions of complexity one over arbitrary fields ⋮ Decomposition theorem and torus actions of complexity one ⋮ Horizontal Ga-actions on affine T-varieties of complexity one

Cites Work

• Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations
• Toroidal embeddings. I
• Plongements d'espaces homogènes
• Polyhedral divisors and algebraic torus actions
• Gluing affine torus actions via divisorial fans
• Sur la géométrie des variétés sphériques. (On the geometry of spherical varieties)
• Affine modifications and affine hypersurfaces with a very transitive automorphism group
• Normal affine surfaces with \(\mathbb{C}^*\)-actions
• Polyhedral divisors and \(SL_{2}\)-actions on affine \(T\)-varieties
• Flexible varieties and automorphism groups
• Normal singularities with torus actions
• Toroidal embeddings and polyhedral divisors
• Introduction to Toric Varieties. (AM-131)
• Anneaux de Rees intégralement clos.
• THE GEOMETRY OF TORIC VARIETIES
• Rational Singularities of Higher Dimensional Schemes
• Classification of G -varieties of complexity 1
• Some Results on Normal Homogeneous Ideals
• Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity
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