Arc spaces and additive invariants in real algebraic and analytic geometry
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Arc spaces and additive invariants in real algebraic and analytic geometry

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Published by Société́́ Mathématique de France, AMS [distributor] in Paris, Providence, RI .
Written in English

Subjects:

  • Geometry, Algebraic.,
  • Geometry, Analytic.,
  • Algebraic spaces.,
  • Invariants.

Book details:

Edition Notes

StatementMichel Coste ... [et al.].
SeriesPanoramas et synthèsis -- 24
ContributionsCoste, M.
Classifications
LC ClassificationsQA564 .A67 2007
The Physical Object
Paginationxxi, 125 p. :
Number of Pages125
ID Numbers
Open LibraryOL20732167M
ISBN 109782856292365
LC Control Number2008410429

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Arc spaces and additive invariants in real algebraic and analytic geometry. Panoramas and Syntheses vol By Krzysztof Kurdyka, Toshizumi Fukui, Adam Parusinski, Laurentiu Paunescu, Michel Coste and Clint Mccrory.   Finally, as an application, we characterize in terms of the motivic measure, germs of arc-analytic homeomorphism between real algebraic varieties which are bi-Lipschitz for the inner metric. We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc : Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka, Adam Parusiński.   Title: Geometry on arc spaces of algebraic varieties. Abstract: This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical by:   Kurdyka, K., Parusiński, A.: Arc-symmetric sets and arc-analytic mappings in Arc spaces and additive invariants in real algebraic and analytic geometry. Panor. Synthèses. Soc. Math. Fr. 24, 33–67 () MATH; Google ScholarCited by: 5.

T. Fukui and L. Paunescu, On blow-analytic equivalence, to appear In: Arc Spaces and Additive Invariants in Real Algebraic Geometry, Proceedings of Winter School, Real algebraic and Analytic Geometry and Motivic Integration, Aussois, , (eds. M. Coste, K. Kurdyka and A. Parusinski), Panoramas et Synthèses, by: 3. Jan Denef and Franc¸ois Loeser. Abstract. This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory. The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical invariants. Toshizumi Fukui's research while affiliated with invariants in real algebraic and analytic geometry. Panoramas and Syntheses vol geometry based on the study of arc spaces and additive. In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. Recall that a function is called arc-analytic if it is real analytic on each real analytic arc.

Arc-symmetric Sets and Arc-analytic Mappings, (with K. Kurdyka), course at Winter School Real Algebraic and Analytic Geometry and Motivic Integration, Aussois, Savoie, in "Arcs Spaces and Additive Invariants in Real algebraic and Analytic Geometry", Panoramas et Synthèses, 24 . Arc spaces and additive invariants in real algebraic and analytic geometry. Paris: Société Mathématique de France ; Providence, RI: AMS [distributor], © (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: M Coste. T. Fukui and L. Paunescu, On blow-analytic equivalence, In: Arc Spaces and Additive Invariants in Real Algebraic Geometry, Proceedings of Winter School “Real algebraic and Analytic Geometry and Motivic Integration”, Aussois , by: 8. Get this from a library! Arc spaces and additive invariants in real algebraic and analytic geometry. [; et al].