A cohomological property of Lagrange multipliers

Details A cohomological property of Lagrange multipliers A cohomological property of Lagrange multipliers

1999-10-05

arxiv.org/abs/math/9910023v1

Mathematics

Algebraic Geometry

15 pages

Scientific paper

The method of Lagrange multipliers relates the critical points of a given
function f to the critical points of an auxiliary function F. We establish a
cohomological relationship between f and F and use it, in conjunction with the
Eagon-Northcott complex, to compute the sum of the Milnor numbers of the
critical points in certain situations.

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