Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities / Bart Bories, Willem Veys.

Format:

Book

Author/Creator:

Bories, Bart, 1980-

Contributor:

Veys, Wim, 1963-

Series:

Memoirs of the American Mathematical Society ; v. 1145.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1145

Language:

English

Subjects (All):

Singularities (Mathematics).

p-adic fields.

p-adic groups.

Functions, Zeta.

Monodromy groups.

Geometry, Algebraic.

Physical Description:

1 online resource (vii, 131 pages : illustrations).

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. Introduction Chapter 2. On the Integral Points in a Three-Dimensional Fundamental Parallelepiped Spanned by Primitive Vectors Chapter 3. Case I: Exactly One Facet Contributes to $s_0$ and this Facet Is a $B_1$-Simplex Chapter 4. Case II: Exactly One Facet Contributes to $s_0$ and this Facet Is a Non-Compact $B_1$-Facet Chapter 5. Case III: Exactly Two Facets of $\Gamma _f$ Contribute to $s_0$, and These Two Facets Are Both $B_1$-Simplices with Respect to a Same Variable and Have an Edge in Common Chapter 6. Case IV: Exactly Two Facets of $\Gamma _f$ Contribute to $s_0$, and These Two Facets Are Both Non-Compact $B_1$-Facets with Respect to a Same Variable and Have an Edge in Common Chapter 7. Case V: Exactly Two Facets of $\Gamma _f$ Contribute to $s_0$; One of Them Is a Non-Compact $B_1$-Facet, the Other One a $B_1$-Simplex; These Facets Are $B_1$ with Respect to a Same Variable and Have an Edge in Common Chapter 8. Case VI: At Least Three Facets of $\Gamma _f$ Contribute to $s_0$; All of Them Are $B_1$-Facets (Compact or Not) with Respect to a Same Variable and They Are 'Connected to Each Other by Edges' Chapter 9. General Case: Several Groups of $B_1$-Facets Contribute to $s_0$; Every Group Is Separately Covered By One of the Previous Cases, and the Groups Have Pairwise at Most One Point in Common Chapter 10. The Main Theorem for a Non-Trivial c Character of $\mathbf Z_p^\times $ Chapter 11. The Main Theorem in the Motivic Setting

Notes:

Includes bibliographical references(pages 129-131).

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Bories, Bart, 1980- Igusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities /

ISBN:

9781470429447

Access Restriction:

Restricted for use by site license.