MaximumLikelihoodObstructionFunction

Solving the likelihood equations to compute Euler obstruction functions. Macpherson defined Chern-Schwartz-Macpherson classes by introducing the (local) Euler obstruction function, which is an integer valued function on the variety that is constant on each stratum of a Whitney stratification. By understanding the Euler obstruction, one gains insights about a singular algebraic variety. It was recently shown by the author and {it B. Wang} [“Computing Euler obstruction functions using maximum likelihood degrees”, Preprint, url{arXiv:1710.04310}], how to compute these functions using maximum likelihood degrees. This paper discusses a symbolic and a numerical implementation of algorithms to compute the Euler obstruction at a point.

References in zbMATH (referenced in 1 article , 1 standard article )

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  1. Rodriguez, Jose Israel: Solving the likelihood equations to compute Euler obstruction functions (2018)