• A Koszul complex over skew polynomial rings 

      Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2019-01-01)
      Article
      Accés obert
      We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence
    • Cropping Euler factors of modular L-functions 

      González Rovira, Josep; Jiménez Urroz, Jorge; Lario Loyo, Joan Carles (2013-09)
      Article
      Accés obert
      According to the Birch and Swinnerton-Dyer conjectures, if A/Q is an abelian variety, then its L-function must capture a substantial part of the properties of A. The smallest number field L where A has all its endomorphisms ...
    • Frobenius and Cartier algebras of Stanley-Reisner rings 

      Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2011-09)
      Report de recerca
      Accés obert
      We study the generation of the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a ...
    • Frobenius and Cartier algebras of Stanley-Reisner rings 

      Álvarez Montaner, Josep; Boix, Alberto F.; Zarzuela Armengou, Santiago (2011-05-15)
      Article
      Accés restringit per política de l'editorial
      We study the generation of the Frobenius algebra of the injective hull of a complete Stanley–Reisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a ...
    • The Frobenius traces distribution for modular Abelian surfaces 

      González Rovira, Josep (2014-02)
      Article
      Accés restringit per política de l'editorial
      We prove that there exist at least 15 pairs of measures for which the two normalized Frobenius traces on modular Abelian surfaces are equidistributed. Under an assumption about stochastic independence, we prove that there ...
    • The right-generators descendant of a numerical semigroup 

      Bras Amorós, Maria; Fernández González, Julio (2020-01-01)
      Article
      Accés obert
      For a numerical semigroup, we encode the set of primitive elements that are larger than its Frobenius number and show how to produce in a fast way the corresponding sets for its children in the semigroup tree. This allows ...