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Record Nr. |
UNINA9910788740803321 |
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Autore |
Artal-Bartolo Enrique <1963-> |
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Titolo |
Quasi-ordinary power series and their zeta functions / / Enrique Artal Bartolo [and others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2005 |
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ISBN |
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Descrizione fisica |
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1 online resource (98 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 841 |
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Altri autori (Persone) |
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Artal-BartoloEnrique <1963-> |
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Disciplina |
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Soggetti |
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Singularities (Mathematics) |
Power series |
Functions, Zeta |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 2005, volume 178, number 841 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 83-85). |
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Nota di contenuto |
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""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"" |
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