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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 245–257 (Mi tm2607)  
This article is cited in 1 scientific paper (total in 1 paper)

Singularities of Algebraic Subvarieties and Problems of Birational Geometry

A. V. Pukhlikovab

a Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, Russia
b University of Liverpool, Liverpool, United Kingdom
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Abstract: We consider the connection between the problem of estimating the multiplicity of an algebraic subvariety at a given singular point and the problem of describing birational maps of rationally connected varieties. We describe the method of hypertangent divisors which makes it possible to give bounds for the multiplicities of singular points. The concept of birational rigidity of algebraic varieties is discussed.
Received in March 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 235–247
DOI: https://doi.org/10.1134/S0081543809040191
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. V. Pukhlikov, “Singularities of Algebraic Subvarieties and Problems of Birational Geometry”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 245–257; Proc. Steklov Inst. Math., 267 (2009), 235–247
Citation in format AMSBIB
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\paper Singularities of Algebraic Subvarieties and Problems of Birational Geometry
\inbook Singularities and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
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\vol 267
\pages 245--257
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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