Maximum likelihood degree of Fermat hypersurfaces via Euler characteristics

Author:
Botong Wang

Journal:
Proc. Amer. Math. Soc. **144** (2016), 3649-3655

MSC (2010):
Primary 14Q10; Secondary 32S50

Published electronically:
May 4, 2016

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Abstract | References | Similar Articles | Additional Information

Abstract: Maximum likelihood degree of a projective variety is the number of critical points of a general likelihood function. In this note, we compute the maximum likelihood degree of Fermat hypersurfaces. We give a formula of the maximum likelihood degree in terms of the constants , which is defined to be the number of complex solutions to the system of equations and .

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Additional Information

**Botong Wang**

Affiliation:
Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706

Email:
wang@math.wisc.edu

DOI:
https://doi.org/10.1090/proc/13127

Received by editor(s):
September 24, 2015

Published electronically:
May 4, 2016

Communicated by:
Lev Borisov

Article copyright:
© Copyright 2016
American Mathematical Society