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Izvestiya: Mathematics, 1999, Volume 63, Issue 3, Pages 535–547
DOI: https://doi.org/10.1070/im1999v063n03ABEH000244 (Mi im244) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Truncation of systems of polynomial equations, ideals and varieties

B. Ya. Kazarnovskii

Scientific Technical Centre "Informregistr"
English version PDF (338 kB) Citations (13)
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DOI: https://doi.org/10.1070/im1999v063n03ABEH000244
Abstract: The main result of this paper is the construction of special so-called locked polynomial ideals to represent systems of equations, and to enable the behaviour of the corresponding algebraic varieties at infinity to be controlled. A consequence of this result is the existence, modulo the action of tori, of a standard minimal toric compactification of an irreducible two-dimensional variety.
Received: 13.10.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1999, Volume 63, Issue 3, Pages 119–132
DOI: https://doi.org/10.4213/im244
Bibliographic databases:
MSC: Primary 14M25; Secondary 13F20
Language: English
Original paper language: Russian
Citation: B. Ya. Kazarnovskii, “Truncation of systems of polynomial equations, ideals and varieties”, Izv. RAN. Ser. Mat., 63:3 (1999), 119–132; Izv. Math., 63:3 (1999), 535–547
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1999v063n03ABEH000244
  • https://www.mathnet.ru/eng/im/v63/i3/p119
    Erratum
    This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:542
    Russian version PDF:228
    English version PDF:20
    References:56
    First page:2
     
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