Canonical singularities and horospherical actions

DOI10.1016/j.crma.2017.03.004zbMath1394.14028OpenAlexW2607280828MaRDI QIDQ524845

Kevin Langlois

Publication date: 26 April 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.03.004

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Compactifications; symmetric and spherical varieties (14M27) Arcs and motivic integration (14E18)

Related Items

Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes ⋮ On the classification of normal \(G\)-varieties with spherical orbits ⋮ Decomposition theorem and torus actions of complexity one

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Séminaire sur les singularités des surfaces. Centre de Mathématiques de l'École Polytechnique, Palaiseau 1976-1977
• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Toroidal embeddings. I
• Weylgruppe und Momentabbildung. (Weyl group and moment map)
• Polyhedral divisors and algebraic torus actions
• Gluing affine torus actions via divisorial fans
• Germs of arcs on singular algebraic varieties and motivic integration
• Spherical varieties and Mori theory
• Normal affine surfaces with \(\mathbb{C}^*\)-actions
• Minimal generating system, essential divisors and \(G\)-desingularisation of toric varieties
• Normal singularities with torus actions
• On the classification of normal \(G\)-varieties with spherical orbits
• Stringy Hodge numbers of varieties with Gorenstein canonical singularities
• On the geometry of normal horospherical G-varieties of complexity one
• The arc space of horospherical varieties and motivic integration
• Variétés horosphériques de Fano
• THE GEOMETRY OF TORIC VARIETIES
• Classification of G -varieties of complexity 1
• Introduction to Singularities
• Stringy invariants for horospherical varieties of complexity one