Now showing items 1-5 of 5

    • Esquemas en grupos y torsores 

      Esquivel Araya, Jorge Arturo (2019)
      El principal objetivo es analizar la extensión de un G-torsor dado sobre la fibra genérica de X, donde X=AnRes el espacio afín n-dimensional sobre un anillo de valuación discreta R. Para ello primero se estudiará ...
    • Models of torsors over affine spaces 

      Antei, Marco; Esquivel Araya, Jorge Arturo (2019)
      Let X := A n R be the n-dimensional affine space over a discrete valuation ring R with fraction field K. We prove that any pointed torsor Y over A n K under the action of an affine finite-type group scheme can be extended ...
    • Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors 

      Antei, Marco; Biswas, Indranil; Emsalem, Michel; Tonini, Fabio; Zhang, Lei (2019)
      We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the ...
    • Parte prima a p del esquema fundamental en grupos sobre anillos de valuación discreta 

      Calvo Monge, Jimmy José (2020-11-17)
      Si X es un esquema propio, suave y conexo sobre Spec(R), para R un anillo de valuación discreta completo, dotado de una sección x: Spec(R) -> X, es posible construir los esquemas fundamentales en grupos pi_1(X,x) y ...
    • The pseudo-fundamental group scheme 

      Antei, Marco; Dey, Arijit (2019)
      Let X be any scheme defined over a Dedekind scheme S with a given section x ∈ X (S). We prove the existence of a pro-finite S-group scheme א (X,x) and a universal א (X,x)-torsor dominating all the pro-finite pointed torsors ...