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Motivic integration and its interactions with model theory and non-Archimedean geometry /
"The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This [work] assembles...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2011.
|
| Colección: | London Mathematical Society lecture note series ;
383, 384. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn770036103 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 120103s2011 enka ob 000 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCQ |d OCLCF |d OCLCQ |d UIU |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO | ||
| 020 | |a 9781139145350 |q (electronic bk.) | ||
| 020 | |a 1139145355 |q (electronic bk.) | ||
| 020 | |a 9780521149761 |q (electronic bk.) | ||
| 020 | |a 0521149762 |q (electronic bk.) | ||
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| 035 | |a (OCoLC)770036103 | ||
| 050 | 4 | |a QA9.7 |b .M68 2011eb | |
| 072 | 7 | |a MAT |x 016000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 018000 |2 bisacsh | |
| 082 | 0 | 4 | |a 511.3/4 |2 23 |
| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Motivic integration and its interactions with model theory and non-Archimedean geometry / |c edited by Raf Cluckers, Johannes Nicaise, Julien Sebag. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (2 volumes) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 383, 384 | |
| 505 | 0 | |a v. 1. Introduction ; Introductory notes on the model theory of valued fields / Zoé Chatzidakis ; On the definition of rigid analytic spaces / Siegfried Bosch ; Topological rings in rigid geometry / Fumiharu Kato ; The Grothendieck ring of varieties / Johannes Nicaise and Julien Sebag ; A short course on geometric motivic integration / Manuel Blickle ; Motivic invariants of rigid varieties, and applications to complex singularities / Johannes Nicaise and Julien Sebag ; Motivic integration in mixed characteristic with bounded ramification : a summary / Raf Cluckers and François Loeser -- v. 2. Heights and measures on analytic spaces : a survey of recent results and some remarks / Antoine Chambert-Loir ; C-minimal structures without density assumption / Franc̜oise Delon ; Trees of definable sets in Zp / Immanuel Halupczok ; Triangulated motives over noetherian separated schemes / Florian Ivorra ; A survey of algebraic exzponential sums and some applications / Emmanuel Kowalski ; A motivic version of p-adic integration / Karl Rökaeus ; Absolute desingularization in characteristic zero / Michael Temkin. | |
| 520 | |a "The development of Maxim Kontsevich's initial ideas on motivic integration has unexpectedly influenced many other areas of mathematics, ranging from the Langlands program over harmonic analysis, to non-Archimedean analysis, singularity theory and birational geometry. This [work] assembles the different theories of motivic integration and their applications for the first time, allowing readers to compare different approaches and assess their individual strengths. All of the necessary background is provided to make the book accessible to graduate students and researchers from algebraic geometry, model theory and number theory. Applications in several areas are included so that readers can see motivic integration at work in other domains. In a rapidly-evolving area of research this [work] will prove invaluable"--Page 4 of cover | ||
| 520 | |a The 1st volume contains introductory texts on the model theory of valued fields, different approaches to non-Archimedean geometry, and motivic integration on algebraic varieties and non-Archimedean spaces. The 2nd volume discusses various applications of non-Archimedian geometry, model theory and motivic integration and the interactions between these domains. | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Model theory. | |
| 650 | 0 | |a Valued fields. | |
| 650 | 0 | |a Analytic spaces. | |
| 650 | 0 | |a Motives (Mathematics) | |
| 650 | 0 | |a Geometry, Algebraic. | |
| 650 | 6 | |a Théorie des modèles. | |
| 650 | 6 | |a Corps valués. | |
| 650 | 6 | |a Espaces analytiques. | |
| 650 | 6 | |a Motifs (Mathématiques) | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Infinity. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Logic. |2 bisacsh | |
| 650 | 7 | |a Analytic spaces |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Model theory |2 fast | |
| 650 | 7 | |a Motives (Mathematics) |2 fast | |
| 650 | 7 | |a Valued fields |2 fast | |
| 700 | 1 | |a Cluckers, Raf. | |
| 700 | 1 | |a Nicaise, Johannes. | |
| 700 | 1 | |a Sebag, Julien. | |
| 776 | 0 | 8 | |i Print version: |t Motivic integration and its interactions with model theory and non-Archimedean geometry. |d Cambridge, UK ; New York : Cambridge University Press, 2011 |z 9780521149761 |w (DLC) 2011021254 |w (OCoLC)760981625 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 383, 384. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=400560 |z Texto completo |
| 938 | |a EBSCOhost |b EBSC |n 400560 | ||
| 994 | |a 92 |b IZTAP | ||