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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
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.
Received: 05.03.2014 and 30.09.2014
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
Linking options:
https://www.mathnet.ru/eng/sm8355https://doi.org/10.1070/SM2015v206n02ABEH004458 https://www.mathnet.ru/eng/sm/v206/i2/p119
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Abstract page: | 774 | Russian version PDF: | 247 | English version PDF: | 25 | References: | 47 | First page: | 50 |
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