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Sbornik: Mathematics, 2015, Volume 206, Issue 2, Pages 282–310
DOI: https://doi.org/10.1070/SM2015v206n02ABEH004458 (Mi sm8355) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Singular strata of cuspidal type for the classical discriminant

E. N. Mikhalkin, A. K. Tsikh

Siberian Federal University, Krasnoyarsk
English version PDF (645 kB) Citations (6)
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DOI: https://doi.org/10.1070/SM2015v206n02ABEH004458
Abstract: We consider an algebraic equation with variable complex coefficients. For the reduced discriminant set of such an equation we obtain parametrizations of the singular strata corresponding to the existence of roots of multiplicity at least $j$. These parametrizations are the restrictions of the Horn-Kapranov parametrization of the whole discriminant set to a chain of nested linear subspaces of the projective space. It is proved that such strata can be transformed into reduced $A$-discriminant sets by monomial transformations.
Bibliography: 12 titles.
Keywords: general algebraic equation, $A$-discriminant set, Horn-Kapranov parametrization, singular stratum.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
Russian Foundation for Basic Research 14-01-31265 мол-a
14-01-00544-a
Received: 05.03.2014 and 30.09.2014
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 2, Pages 119–148
DOI: https://doi.org/10.4213/sm8355
Bibliographic databases:
Document Type: Article
UDC: 512.761+517.55
MSC: Primary 14M25; Secondary 14J70
Language: English
Original paper language: Russian
Citation: E. N. Mikhalkin, A. K. Tsikh, “Singular strata of cuspidal type for the classical discriminant”, Mat. Sb., 206:2 (2015), 119–148; Sb. Math., 206:2 (2015), 282–310
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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    References:54
    First page:50
     
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