Description

Book Synopsis
Provides an introduction to an active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. The book introduces $p$-adic analysis, the theory of zeta functions, Archimedean, $p$-adic, motivic, singularities of plane curves and their Poincare series.

Table of Contents
  • Surveys: E. Leon-Cardenal, Archimedean zeta functions and oscillatory integrals
  • J. J. Moyano-Fernandez, Generalized Poincare series for plane curve singularities
  • N. Potemans and W. Veys, Introduction to $p$-adic Igusa zeta functions
  • J. Viu-Sos, An introduction to $p$-adic and motivic integration, zeta functions and invariants of singularities
  • W. A. Zuniga-Galindo, $p$-adic analysis: A quick introduction
  • Articles: E. Artal Bartolo and M. Gonzalez Villa, On maximal order poles of generalized topological zeta functions
  • J. I. Cogolludo-Agustin, T. Laszlo, J. Martin-Morales, and A. Nemethi, Local invariants of minimal generic curves on rational surfaces
  • J. Nagy and A. Nemethi, Motivic Poincare series of cusp surface singularities
  • C. D. Sinclair, Non-Archimedean electrostatics

pAdic Analysis Arithmetic and Singularities

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    A Paperback by Carlos Galindo, Alejandro Melle Hernandez, Julio Jose Moyano-Fernandez

    £999.99

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      Book details

      Publisher American Mathematical Society
      Published 6/30/2022 12:00:00 AM
      ISBN-13 9781470467791
      978-1470467791
      ISBN-10 1470467798
      Also in:
      Algebraic geometry Number theory

      Description

      Book Synopsis
      Provides an introduction to an active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. The book introduces $p$-adic analysis, the theory of zeta functions, Archimedean, $p$-adic, motivic, singularities of plane curves and their Poincare series.

      Table of Contents
      • Surveys: E. Leon-Cardenal, Archimedean zeta functions and oscillatory integrals
      • J. J. Moyano-Fernandez, Generalized Poincare series for plane curve singularities
      • N. Potemans and W. Veys, Introduction to $p$-adic Igusa zeta functions
      • J. Viu-Sos, An introduction to $p$-adic and motivic integration, zeta functions and invariants of singularities
      • W. A. Zuniga-Galindo, $p$-adic analysis: A quick introduction
      • Articles: E. Artal Bartolo and M. Gonzalez Villa, On maximal order poles of generalized topological zeta functions
      • J. I. Cogolludo-Agustin, T. Laszlo, J. Martin-Morales, and A. Nemethi, Local invariants of minimal generic curves on rational surfaces
      • J. Nagy and A. Nemethi, Motivic Poincare series of cusp surface singularities
      • C. D. Sinclair, Non-Archimedean electrostatics

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