03311cam  2200433 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000240016708200160019110000250020724501620023226400710039430000550046533600210052033700250054133800230056649000740058950400560066350514830071950600500220253300950225253800360234758800470238365000320243065000190246265000190248165000210250065000220252165000250254370000220256877601950259085600440278585600480282919011306RPAM20170613145854.0m      b    000 0 cr/|||||||||||170613s2016    riu     ob    000 0 eng    a9781470429447 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA614.58b.B67 201600a515/.942231 aBories, Bart,d1980-10aIgusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities /h[electronic resource] cBart Bories, Willem Veys. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c[2016]  a1 online resource (vii, 131 pages : illustrations)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1145  aIncludes bibliographical references(pages 129-131).00tChapter 1. IntroductiontChapter 2. On the Integral Points in a Three-Dimensional Fundamental Parallelepiped Spanned by Primitive VectorstChapter 3. Case I: Exactly One Facet Contributes to $s_0$ and this Facet Is a $B_1$-SimplextChapter 4. Case II: Exactly One Facet Contributes to $s_0$ and this Facet Is a Non-Compact $B_1$-FacettChapter 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 CommontChapter 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 CommontChapter 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 CommontChapter 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'tChapter 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 CommontChapter 10. The Main Theorem for a Non-Trivial c Character of $\mathbf Z_p^\times $tChapter 11. The Main Theorem in the Motivic Setting1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2016  aMode of access : World Wide Web  aDescription based on print version record. 0aSingularities (Mathematics) 0ap-adic fields. 0ap-adic groups. 0aFunctions, Zeta. 0aMonodromy groups. 0aGeometry, Algebraic.1 aVeys, Wim,d1963-0 iPrint version: aBories, Bart, 1980-tIgusa's p-Adic local zeta function and the Monodromy conjecture for non-degenerate surface singularities /w(DLC)   2016011017x0065-9266z97814704184104 3Contentsuhttp://www.ams.org/memo/1145/4 3Contentsuhttps://doi.org/10.1090/memo/1145