A cohomological property of Lagrange multipliers
Algebraic Geometry
2007-05-23 v1
Abstract
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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Cite
@article{arxiv.math/9910023,
title = {A cohomological property of Lagrange multipliers},
author = {Alan Adolphson and Steven Sperber},
journal= {arXiv preprint arXiv:math/9910023},
year = {2007}
}
Comments
15 pages