Non-archimedean tame topology and stably dominated types / Ehud Hrushovski, François Loeser

Von:

Hrushovski, Ehud, 1959- [VerfasserIn]

Mitwirkende(r):

Loeser, François [VerfasserIn]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Annals of mathematics studies ; number 192Verlag: Princeton ; Oxford : Princeton University Press, 2016Copyright-Datum: © 2016Beschreibung: vii, 216 Seiten : IllustrationenISBN:

9780691161686
9780691161693

Schlagwörter:

Andere physische Formen: Erscheint auch als: Non-archimedean tame topology and stably dominated types. Online-Ausgabe Princeton : Princeton University Press, 2016. 1 online resource (vii, 216 Seiten) | Erscheint auch als: Non-Archimedean Tame Topology and Stably Dominated Types. Online-Ausgabe Princeton : Princeton University Press, 2016. 1 online resource (227 pages) | Erscheint auch als: Non-archimedean tame topology and stably dominated types. Online-Ausgabe Princeton : Princeton University Press, 2016. 1 Online-Ressource (vii, 216 Seiten)MSC: MSC: *14-02 | 14G22 | 03C98 | 03C64 | 03C60 | 54F99RVK: RVK: SI 830LOC-Klassifikation:

QA251.5

Zusammenfassung: "Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools. For non-archimedean fields, such as the p-adics, the Berkovich analytification provides a connected topology with many thoroughgoing analogies to the real topology on the set of complex points, and it has become an important tool in algebraic dynamics and many other areas of geometry. This book lays down model-theoretic foundations for non-archimedean geometry. The methods combine o-minimality and stability theory. Definable types play a central role, serving first to define the notion of a point and then properties such as definable compactness. Beyond the foundations, the main theorem constructs a deformation retraction from the full non-archimedean space of an algebraic variety to a rational polytope. This generalizes previous results of V. Berkovich, who used resolution of singularities methods"--PPN: PPN: 848902629

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Barcode
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Topol. / Hru	Verfügbar	36587237090

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