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Multiplicities of classical varieties.
- Source :
-
Proceedings of the London Mathematical Society . Apr2015, Vol. 110 Issue 4, p1033-1055. 23p. - Publication Year :
- 2015
-
Abstract
- The j-multiplicity plays an important role in the intersection theory of Stuckrad-Vogel cycles, while recent developments confirm the connections between the 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 ϵ-multiplicity of ideals defining determinantal varieties: The found quantities are integrals which, quite surprisingly, are central in random matrix theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00246115
- Volume :
- 110
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 102090457
- Full Text :
- https://doi.org/10.1112/plms/pdv005