Computational Methods in Commutative Algebra and Algebraic Geometry

Computational Methods in Commutative Algebra and Algebraic Geometry

Wolmer Vasconcelos

96,39 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2004
ISBN:
9783540213116
96,39 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.

Artículos relacionados

  • ZETA FUNCTIONS OF REDUCTIVE GROUPS AND THEIR ZEROS
    LIN WENG / WENG LIN
    This book provides a systematic account of several breakthroughs in the modern theory of zeta functions. It contains two different approaches to introduce and study genuine zeta functions for reductive groups (and their maximal parabolic subgroups) defined over number fields. Namely, the geometric one, built up from stability of principal lattices and an arithmetic cohomology t...
  • The Norm Residue Theorem in Motivic Cohomology
    Charles A. Weibel / Christian Haesemeyer
    This book presents the complete proof of the Bloch-Kato conjecture and several related conjectures of Beilinson and Lichtenbaum in algebraic geometry. Brought together here for the first time, these conjectures describe the structure of étale cohomology and its relation to motivic cohomology and Chow groups.Although the proof relies on the work of several people, it is credited...
    Disponible

    114,75 €

  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
  • Eisenstein Cohomology for GLN and the Special Values of Rankin-Selberg L-Functions
    Anantharam Raghuram / Günter Harder
    This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of t...
    Disponible

    108,21 €

  • TOPOLOGY - HAWAII (P/H)
    K H DOVERMANN
    The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990. These cover recent results in algebraic topology, algebraic transformation groups, real algebraic geometry, low-dimensional topology, and Nielsen Fixed Point Theory. ...
  • Computational Aspects of Modular Forms and Galois Representations
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan’s tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, excep...
    Disponible

    129,39 €

Otros libros del autor

  • Integral Closure
    Wolmer Vasconcelos
    This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the struct...
    Disponible

    206,52 €

  • Integral Closure
    Wolmer Vasconcelos
    This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicity theory while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the struct...