UM Math Graduate Student Seminar

Michela di Marca
University of Genova

will present

On the diameter of dual graphs of projective varieties

Friday, February 12, 2016, 6:00pm
Ungar Building Room 506


The concept of dual graph of a projective variety can be studied both from a geometric and from an algebraic point of view, by considering the homogeneous ideal associated to the variety in a certain polynomial ring. I will focus on the second aspect and I will investigate some restrictions on the diameter of such graphs when we start from a coordinate ring with good properties. In particular, I will show an upper bound for the diameter based on the distribution of degrees on the irreducible components of the variety.


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