Now showing items 1-20 of 29

    • A Cartan-Eilenberg approach to homotopical algebra 

      Guillén Santos, Francisco; Navarro Aznar, Vicente; Pascual Gainza, Pere; Roig Martí, Agustín (2010)
      Article
      Restricted access - publisher's policy
      In this paper we propose an approach to homotopical algebra w here the basic ingredient is a category with two classes of distinguished morphisms: s trong and weak equivalences. These data determine the cofibrant objects ...
    • An example of a non acyclic Koszul complex of a module 

      Planas Vilanova, Francesc d'Assís (2000)
      Article
      Open Access
    • André spectral sequences for Baues–Wirsching cohomology of categories 

      Gálvez Carrillo, Maria Immaculada; Neumann, Frank; Tonks, Andrew (2012-04-30)
      Article
      Restricted access - publisher's policy
      We construct spectral sequences in the framework of Baues–Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications ...
    • Cell-sets and decomposition spaces 

      Galve Regolf, Sergi (Universitat Politècnica de Catalunya, 2020-10)
      Master thesis
      Open Access
      This project, termed Cell Sets and Decomposition Spaces, is an introduction to the connections between homotopy and algebraic combinatorics. The main goal is to understand the category Cell of cell-sets and cell-maps, ...
    • Characteristic cycle of local cohomology modules of monomial ideals II 

      Álvarez Montaner, Josep (2003)
      Article
      Open Access
    • Characteristic cycles of local cohomology modules of monomial ideals 

      Álvarez Montaner, Josep (1998)
      Article
      Open Access
      By using the theory of D-modules we express the characteristic cycle of a local cohomology module supported on a monomial ideal in terms of conormal bundles relative to a subvariety. As a consequence we can decide when a ...
    • Characteristic cycles of localizations: algorithmic approach 

      Álvarez Montaner, Josep; Leykin, Anton (2004)
      Article
      Open Access
      For a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding ...
    • Colored spanning graphs for set visualization 

      Hurtado Díaz, Fernando Alfredo; Korman, Matias; Van Kreveld, Matias; Löffler, Maarten; Sacristán Adinolfi, Vera; Shioura, Akiyoshi; Silveira, Rodrigo Ignacio; Speckmann, Bettina; Tokuyama, Takeshi (2018-03)
      Article
      Open Access
      We study an algorithmic problem that is motivated by ink minimization for sparse set visualizations. Our input is a set of points in the plane which are either blue, red, or purple. Blue points belong exclusively to the ...
    • Estructuras A-infinito en la opérada de cactus 

      Gálvez Carrillo, Maria Immaculada; Lombardi, Leandro; Tonks, Andrew (2012)
      Conference lecture
      Restricted access - publisher's policy
      Diversas versiones de la opérada de cactus inicialmente definida por Voronov han sido estudiadas. Es conocida su equivalencia débil con la opérada de pequeños discos. Se conoce pues que la opérada de cactus admite una ...
    • Extensions of groups 

      Ruiz Herrero, Víctor (Universitat Politècnica de Catalunya, 2018-07)
      Bachelor thesis
      Open Access
      A study of extensions of groups: given 2 groups G and K, I study the groups E that have K as a normal subgroup such that G = E/K. It is related with exact sequences and group cohomology.
    • Homotopy Batalin-Vilkovisky Algebras 

      Gálvez Carrillo, Maria Immaculada; Tonks, Andrew; Vallette, Bruno (2012)
      Article
      Open Access
      This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define ...
    • Homotopy linear algebra 

      Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2016-02)
      External research report
      Open Access
      By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ...
    • Homotopy linear algebra 

      Gálvez Carrillo, Maria Immaculada; Kock, Joachim; Tonks, Andrew (2018-04)
      Article
      Open Access
      By homotopy linear algebra we mean the study of linear functors between slices of the 8-category of 8-groupoids, subject to certain finiteness conditions. After some standard definitions and results, we assemble said slices ...
    • Linearization of local cohomology modules 

      Álvarez Montaner, Josep; Zarzuela Armengou, Santiago (American Mathematical Society, 2003)
      Part of book or chapter of book
      Open Access
      The aim of this work is to describe the linear structure of regular holonomic $\mathcal D$-modules with support a normal crossing with variation zero introduced in [Local cohomology, arrangements of subspaces and monomial ...
    • Local cohomology supported on monomial ideals 

      Álvarez Montaner, Josep (2013-09-02)
      Article
      Restricted access - publisher's policy
    • Local cohomology, arrangement of subspaces and monomial ideals 

      Álvarez Montaner, Josep; García López, Ricardo; Zarzuela Armengou, Santiago (2000)
      Article
      Open Access
    • Model categories and cubical descent 

      Rubió Pons, Llorenç (2007-06-12)
      Article
      Open Access
      We prove that the subcategory of fibrant objects of a simplicial model category is a cohomological descent category, in the sense of Guillén and Navarro, if and only if an acyclicity criterion holds.
    • Normal transversality and uniform bounds 

      Planas Vilanova, Francesc d'Assís (1999)
      Article
      Open Access
    • On the module of effective relations of a standard algebra 

      Planas Vilanova, Francesc d'Assís (1996)
      Article
      Open Access
    • On the vanishing and non-rigidity of the André-Quillen (co)homology 

      Planas Vilanova, Francesc d'Assís (1996)
      Article
      Open Access
      Let I be an ideal of a commutative ring A, B=A/I. Given n>=2, we characterize the vanishing of the André-Quillen homology modules H_{p}(A,B,W) for all $B$-module $W$ and for all p, 2<=p<=n, in terms of some canonical ...