F Nous contacter

0

Documents  Veys, Wim | enregistrements trouvés : 2

O
     

-A +A

Sélection courante (0) : Tout sélectionner / Tout déselectionner

P Q

2 y

Research talks

The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of $f$, its local monodromy. We will discuss in this survey talk rationality issues for these zeta functions and the origins of the conjecture. The $p$-adic Igusa zeta function, topological and motivic zeta function are (related) invariants of a polynomial $f$, reflecting the singularities of the hypersurface $f = 0$. The first one has a number theoretical flavor and is related to counting numbers of solutions of $f = 0$ over finite rings; the other two are more geometric in nature. The monodromy conjecture relates in a mysterious way these invariants to another singularity invariant of ...

14D05 ; 11S80 ; 11S40 ; 14E18 ; 14J17

... Lire [+]

V

- xvi; 344 p.
ISBN 978-0-8218-6900-0

Contemporary mathematics , 0566

Localisation : Collection RdC

fonction zeta # géométrie

11F66 ; 11G25 ; 11L07 ; 11G50 ; 14D10 ; 14G40 ; 22E50 ; 32S40 ; 57M27 ; 11-06 ; 14-06 ; 00B25

... Lire [+]

Nuage de mots clefs ici

Ressources Electroniques

Books & Print journals

Recherche avancée


0
Z