A cohomological property of Lagrange multipliers
classification
🧮 math.AG
keywords
criticalpointscohomologicalfunctionlagrangemultipliersauxiliarycertain
read the original 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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