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- W3100928045 abstract "The $j$-multiplicity plays an important role in the intersection theory of Stuckrad-Vogel cycles, while recent developments confirm the connections between the $epsilon$-multiplicity and equisingularity theory. In this paper we establish, under some constraints, a relationship between the $j$-multiplicity of an ideal and the degree of its fiber cone. As a consequence, we are able to compute the $j$-multiplicity of all the ideals defining rational normal scrolls. By using the standard monomial theory, we can also compute the $j$- and $epsilon$-multiplicity of ideals defining determinantal varieties: The found quantities are integrals which, quite surprisingly, are central in random matrix theory." @default.
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- W3100928045 date "2015-03-05" @default.
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- W3100928045 title "Multiplicities of classical varieties" @default.
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- W3100928045 doi "https://doi.org/10.1112/plms/pdv005" @default.
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