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The Resource Non-archimedean tame topology and stably dominated types, Ehud Hrushovski, François Loeser, (electronic resource)

Non-archimedean tame topology and stably dominated types, Ehud Hrushovski, François Loeser, (electronic resource)

Label
Non-archimedean tame topology and stably dominated types
Title
Non-archimedean tame topology and stably dominated types
Statement of responsibility
Ehud Hrushovski, François Loeser
Creator
Contributor
Subject
Language
eng
Summary
"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"--
Member of
Assigning source
Provided by publisher
Cataloging source
YDXCP
http://library.link/vocab/creatorDate
1959-
http://library.link/vocab/creatorName
Hrushovski, Ehud
LC call number
QA251.5
LC item number
.H78 2016
http://library.link/vocab/relatedWorkOrContributorName
Loeser, François
Series statement
Annals of mathematics studies
Series volume
number 192
http://library.link/vocab/subjectName
  • Tame algebras
  • Tame algebras
Label
Non-archimedean tame topology and stably dominated types, Ehud Hrushovski, François Loeser, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 207-210) and index
Control code
OCM1bookssj0001723374
Dimensions
unknown
Isbn
9780691161686
Lccn
2015955167
Specific material designation
remote
System control number
(WaSeSS)bookssj0001723374
Label
Non-archimedean tame topology and stably dominated types, Ehud Hrushovski, François Loeser, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (pages 207-210) and index
Control code
OCM1bookssj0001723374
Dimensions
unknown
Isbn
9780691161686
Lccn
2015955167
Specific material designation
remote
System control number
(WaSeSS)bookssj0001723374

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