Computing Euler Obstruction Functions Using Maximum Likelihood Degrees.

Autor: Rodriguez, Jose Israel, Wang, Botong
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Zdroj: IMRN: International Mathematics Research Notices; Oct2020, Vol. 2020 Issue 20, p6699-6712, 14p
Abstrakt: We give a numerical algorithm computing Euler obstruction functions using maximum likelihood degrees. The maximum likelihood degree is a well-studied property of a variety in algebraic statistics and computational algebraic geometry. In this article we use this degree to give a new way to compute Euler obstruction functions. We define the maximum likelihood obstruction function and show how it coincides with the Euler obstruction function. With this insight, we are able to bring new tools of computational algebraic geometry to study Euler obstruction functions. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index