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Bernstein-Kushnirenko theorem

Speaker: 
Khazhgali Kozhasov
Institution: 
SISSA
Schedule: 
Tuesday, April 19, 2016 - 16:00 to 18:00
Location: 
A-136
Abstract: 

 Given a polynomial f in one complex variable the number of its non-zero roots (with multiplicities) is equal to the difference between the highest and lowest degrees of the monomials which constitute f. The theorems of Bernstein and Kushnirenko are multidimensional generalizations of this fact. I will discuss these results in details and if time permits mention some applications.

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