03126nam 2200601 450 991078874080332120170918221252.01-4704-0442-7(CKB)3360000000465025(EBL)3114116(SSID)ssj0000973839(PQKBManifestationID)11553210(PQKBTitleCode)TC0000973839(PQKBWorkID)10984492(PQKB)11318615(MiAaPQ)EBC3114116(RPAM)14038371(PPN)195417291(EXLCZ)99336000000046502520050715d2005 uy| 0engur|n|---|||||txtccrQuasi-ordinary power series and their zeta functions /Enrique Artal Bartolo [and others]Providence, Rhode Island :American Mathematical Society,2005.1 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 841"November 2005, volume 178, number 841 (end of volume)."0-8218-3876-8 Includes bibliographical references (pages 83-85).""Contents""; ""Introduction""; ""Chapter 1. Motivic integration""; ""1. Grothendieck ring of varieties""; ""2. The arc space of a variety""; ""3. Local Denef�Loeser motivic zeta function""; ""Chapter 2. Generating functions and Newton polyhedra""; ""1. Generating functions for integer points in rational polyhedra""; ""2. Motivic zeta function and Newton polyhedra""; ""Chapter 3. Quasi�ordinary power series""; ""1. Characteristic exponents""; ""2. Newton polyhedron and good coordinates""; ""3. Dual decomposition""; ""4. Newton map associated with a Newton component""""5. Transversal sections of a quasi�ordinary power series""""Chapter 4. Denef�Loeser motivic zeta function under the Newton maps""; ""1. Vertices of the dual decomposition""; ""2. Edges of the Newton polytope""; ""3. Zeta functions along strata""; ""Chapter 5. Consequences of the main theorems""; ""1. Essential variables""; ""2. Curve case""; ""3. The topological zeta function""; ""4. A special candidate pole""; ""Chapter 6. Monodromy conjecture for quasi�ordinary power series""; ""1. Monodromy conjecture for curves""; ""2. Monodromy conjecture: general case""""3. Monodromy conjecture for the Igusa zeta�function""""Bibliography""Memoirs of the American Mathematical Society ;no. 841.Singularities (Mathematics)Power seriesFunctions, ZetaSingularities (Mathematics)Power series.Functions, Zeta.510 s516.3/5Artal-Bartolo Enrique1963-1521077Artal-Bartolo Enrique1963-1521077MiAaPQMiAaPQMiAaPQBOOK9910788740803321Quasi-ordinary power series and their zeta functions3838109UNINA