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Kevin Langlois
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Kevin Langlois

Preprints

  • (with Alexander Perepechko) Demazure roots and spherical varieties: the example of horizontal SL(2)-actions.

  • (with Marta Agustín Vicente and Narasimha Chary Bonala) On intersection cohomology with torus action of complexity one, II.

Accepted papers

  • (with David Bourqui and Hussein Mourtada) The Nash problem for torus actions of complexity one (to appear in Journal für die Reine und Angewandte Mathematik (Crelle's Journal)).

  • (with Lukas Braun, Daniel Greb and Joaquín Moraga) Reductive quotients of klt singularities. Inventiones Mathematicae 237, 1643-1682 (2024).

  • (with Marta Agustín Vicente) Decomposition theorem and torus actions of complexity one. European Journal of Mathematics 7, no. 1, 163-204 (2021).

  • On the classification of normal G-varieties with spherical orbits. Annales de la Faculté des Sciences de Toulouse (6) 29, no. 2, 271-334 (2020).

  • Models of affine curves and Ga-actions. Proceedings Arc schemes and Singularities, World Scientific Publishing, pp. 113-119 (2020).

  • Horizontal Ga-actions on affine T-varieties of complexity one. Le Matematiche (Catania) 74 (2019), no. 1, 75-94.

  • (with Ariyan Javanpeykar and Ronan Terpereau) Horospherical stacks. Münster Journal of Mathematics 12, no. 1, 1-29 (2019).

  • (with Clélia Pech and Michel Raibaut) Stringy invariants for horospherical varieties of complexity one. Compositio Algebraic Geometry 6 (2019), no. 3, 346-383.

  • (with Marta Agustín Vicente) On intersection cohomology with torus actions of complexity one.  Revista Matemática Complutense  31, no. 1, 163-186 (2018). 

  • Singularités canoniques et actions horosphériques.  Comptes Rendus Mathematique 355, no. 4, 365-369 (2017). 

  • (with Ronan Terpereau) The Cox ring of a complexity-one horospherical variety.  Archiv der Mathematik (Basel) 108, no. 1, 17-27 (2017).

  • (with Alvaro Liendo) Additive group actions on affine T-varieties of complexity one in arbitrary characteristic.  Journal of Algebra 449, 730-773 (2016).

  • (with Ronan Terpereau) On the geometry of normal horospherical G-varieties of complexity one.  Journal of Lie Theory 26, no. 1, 49-78 (2016).

  • Polyhedral divisors and torus actions of complexity one over arbitrary fields.  Journal of Pure and Applied Algebra 219, no. 6, 2015-2045 (2015). 

  • Clôture intégrale et opérations de tores algébriques de complexité un dans les variétés affines.  Transformation Groups 18, no. 3, 739-765 (2013).

Thesis

  • Sur les opérations de tores algébriques de complexité un dans les variétés affines. 2013, PhD thesis.

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