V. K. Beloshapka, “A Cubic Model of a Real Variety”, Mat. Zametki, 70:4 (2001), 503–519; Math. Notes, 70:4 (2001), 457

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Matematicheskie Zametki, 2001, Volume 70, Issue 4, Pages 503–519
DOI: https://doi.org/10.4213/mzm763 (Mi mzm763)

This article is cited in 13 scientific papers (total in 13 papers)

A Cubic Model of a Real Variety

V. K. Beloshapka

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (245 kB) Citations (13)

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DOI: https://doi.org/10.4213/mzm763

Abstract: In the paper a cubic model is constructed for a germ of a real subvariety in a complex space. It is shown that in its range of codimensions this model possesses the full spectrum of properties similar to well-known properties of tangent quadrics.

Received: 01.02.2001

English version:
Mathematical Notes, 2001, Volume 70, Issue 4, Pages 457–470
DOI: https://doi.org/10.1023/A:1012320517670

Bibliographic databases:

UDC: 517

Language: Russian

Citation: V. K. Beloshapka, “A Cubic Model of a Real Variety”, Mat. Zametki, 70:4 (2001), 503–519; Math. Notes, 70:4 (2001), 457–470

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm763

https://doi.org/10.4213/mzm763

https://www.mathnet.ru/eng/mzm/v70/i4/p503

This publication is cited in the following 13 articles:

Beloshapka V.K., “Polynomial Model Cr-Manifolds With the Rigidity Condition”, Russ. J. Math. Phys., 26:1 (2019), 1–8
Beloshapka V.K., “Cubic Model Cr-Manifolds Without the Assumption of Complete Nondegeneracy”, Russ. J. Math. Phys., 25:2 (2018), 148–157
I. B. Mamai, “Moduli spaces of model surfaces with one-dimensional complex tangent”, Izv. Math., 77:2 (2013), 354–377
V. K. Beloshapka, “Model-surface method: An infinite-dimensional version”, Proc. Steklov Inst. Math., 279 (2012), 14–24
Beloshapka V.K., Kossovskiy I.G., “Homogeneous Hypersurfaces in C-3, Associated with a Model CR-Cubic”, J Geom Anal, 20:3 (2010), 538–564
I. G. Kossovskii, “On envelopes of holomorphy of model manifolds”, Izv. Math., 71:3 (2007), 545–571
V. K. Beloshapka, “A Counterexample to the Dimension Conjecture”, Math. Notes, 81:1 (2007), 117–120
R. V. Gammel', I. G. Kossovskii, “The Envelope of Holomorphy of a Model Third-Degree Surface and the Rigidity Phenomenon”, Proc. Steklov Inst. Math., 253 (2006), 22–36
V. K. Beloshapka, “Universal Models For Real Submanifolds”, Math. Notes, 75:4 (2004), 475–488
E. N. Shananina, “Polynomial Models of Degree 5 and Algebras of Their Automorphisms”, Math. Notes, 75:5 (2004), 702–716
V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41
V. K. Beloshapka, “A Quasiperiodic System of Polynomial Models of CR-Manifolds”, Proc. Steklov Inst. Math., 235 (2001), 1–28
V. K. Beloshapka, “Polynomial models of real manifolds”, Izv. Math., 65:4 (2001), 641–657

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	521
Full-text PDF :	274
References:	71
First page:	1

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