On h-vector of standard graded algebras

Monday, March 6, 2017 - 4:00pm
110 MSB
Hai Long Dao, University of Kansas


Let R be a standard graded algebra over a field. The h-vector of R is the coefficients vector of the numerator of the (reduced) Hilbert 

series of R. It is a classical and easy result that if R is Cohen-Macaulay, then the h-vector are non-negative. This talk will focus on how the singularities

of R affect the size and shapes of the h-vectors. 

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