• Cohomología local con soporte un ideal monomial (D-módulos y combinatoria) 

      Álvarez Montaner, Josep (Edicions UPC, 2000)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      We study, by using the theory of algebraic D-modules, the local cohomology modules supported on a monomial ideal I of the polynomial ring R = k[x1, . . . , xn], where k is a field of characteristic zero. We compute the ...
    • Commutative semifields of rank 2 over their middle nucleus 

      Ball, Simeon Michael; Lavrauw, Michel (Springer, 2001)
      Comunicació de congrés
      Accés restringit per política de l'editorial
      This article is about finite commutative semifields that are of rank 2 over their middle nucleus, the largest subset of elements that is a finite field. These semifields have a direct correspondence to certain flocks of ...
    • Polynomials in finite geometries 

      Ball, Simeon Michael (Cambridge University Press, 1999)
      Comunicació de congrés
      Accés obert
      A method of using polynomials to describe objects in finite geometries is outlined and the problems where this method has led to a solution are surveyed. These problems concern nuclei, affine blocking sets, maximal arcs ...
    • Rainbow-free 3-colorings in abelian groups 

      Montejano, Amanda; Serra Albó, Oriol (2009-07-27)
      Article
      Accés obert
      A 3–coloring of an abelian group G is rainbow–free if there is no 3–term arithmetic progression with its members having pairwise distinct colors. We describe the structure of rainbow–free colorings of abelian groups. ...
    • Square-free discriminants of Frobenius rings 

      David, Chantal; Jiménez Urroz, Jorge (2010-09)
      Article
      Accés obert
      Let E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated ...
    • Symplectic spreads and permutation polynomials 

      Ball, Simeon Michael; Zieve, Michael (Springer, 2004)
      Comunicació de congrés
      Accés restringit per política de l'editorial
      Every symplectic spread of PG(3, q), or equivalently every ovoid of Q(4, q), is shown to give a certain family of permutation polynomials of GF(q) and vice-versa. This leads to an algebraic proof of the existence of the ...
    • The polynomial method in Galois geometries 

      Ball, Simeon Michael (Nova Science Publishers, 2012)
      Capítol de llibre
      Accés restringit per política de l'editorial
      The polynomial method refers to the application of polynomials to combinatorial problems. The method is particularly effective for Galois geometries and a number of problems and conjectures have been solved using the ...