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100   $a20050715d2005      uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aQuasi-ordinary power series and their zeta functions /$fEnrique Artal Bartolo [and others]
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2005.
215   $a1 online resource (98 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 841
300   $a"November 2005, volume 178, number 841 (end of volume)."
311   $a0-8218-3876-8 
320   $aIncludes bibliographical references (pages 83-85).
327   $a""Contents""; ""Introduction""; ""Chapter 1. Motivic integration""; ""1. Grothendieck ring of varieties""; ""2. The arc space of a variety""; ""3. Local Denefa???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. Quasia???ordinary power series""; ""1. Characteristic exponents""; ""2. Newton polyhedron and good coordinates""; ""3. Dual decomposition""; ""4. Newton map associated with a Newton component""
327   $a""5. Transversal sections of a quasia???ordinary power series""""Chapter 4. Denefa???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 quasia???ordinary power series""; ""1. Monodromy conjecture for curves""; ""2. Monodromy conjecture: general case""
327   $a""3. Monodromy conjecture for the Igusa zetaa???function""""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 841.
606   $aSingularities (Mathematics)
606   $aPower series
606   $aFunctions, Zeta
615  0$aSingularities (Mathematics)
615  0$aPower series.
615  0$aFunctions, Zeta.
676   $a510 s
676   $a516.3/5
700   $aArtal-Bartolo$b Enrique$f1963-$01639145
701   $aArtal-Bartolo$b Enrique$f1963-$01639145
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910827661603321
996   $aQuasi-ordinary power series and their zeta functions$94116723
997   $aUNINA