Description
Book SynopsisProvides 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
