Géométrie toroïdale et géométrie analytique non archimédienne. Application au type d'homotopie de certains schémas formels

• Autores: Amaury Thuillier
• Localización: Manuscripta mathematica, ISSN 0025-2611, Vol. 123, Nº. 4, 2007, págs. 381-451
• Idioma: francés
• DOI: 10.1007/s00229-007-0094-2
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• Resumen

  • V.G. Berkovich's non-Archimedean analytic geometry provides a natural framework to understand the combinatorial aspects in the theory of toric varieties and toroidal embeddings. This point of view leads to a conceptual and elementary proof of the following results: if X is an algebraic scheme over a perfect field and if D is the exceptional normal crossing divisor of a resolution of the singularities of X, the homotopy type of the incidence complex of D is an invariant of X. This is a generalization of a theorem due to D. Stepanov.