NDLI: The Euler obstruction of a function on a determinantal variety and on a curve

Content Provider	Springer Nature Link
Author	Oréfice Okamoto, B. Nuño Ballesteros, J. J. Tomazella, J. N. Ament, D. A. H.
Copyright Year	2016
Abstract	Given an analytic function germ f: (X, 0) → C on an isolated determinantal singularity or on a reduced curve, we present formulas relating the local Euler obstruction of f to the vanishing Euler characteristic of the fiber X ∩ f -1(0) and to the Milnor number of f. Restricting ourselves to the case where X is a complete intersection, we obtain an easy way to calculate the local Euler obstruction of f as the difference between the dimension of two algebras.
Ending Page	970
Page Count	16
Starting Page	955
File Format	PDF
ISSN	16787544
e-ISSN	16787714
Journal	Bulletin of the Brazilian Mathematical Society
Issue Number	3
Volume Number	47
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-03-19
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	determinantal singularity Deformations of singularities; vanishing cycles Singularities Theoretical, Mathematical and Computational Physics Local singularities vanishing Euler characteristic Milnor number Mathematics Euler obstruction Invariants of analytic local rings
Content Type	Text
Resource Type	Article
Subject	Mathematics

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The Euler obstruction of a function on a determinantal variety and on a curve