4 citations · 7 across the 5 of their papers we have counts for
8 papers · 1 filter
On Igusa zeta functions of monomial ideals
Jason Howald, Mircea Mustata, Cornelia Yuen
We show that the real parts of the poles of the Igusa zeta function of a monomial ideal can be computed from the torus-invariant divisors on the normalized blowing-up along the ide…
Combinatorial description of the roots of the Bernstein-Sato polynomials for monomial ideals
Nero Budur, Mircea Mustata, Morihiko Saito
We give a combinatorial description of the roots of the Bernstein-Sato polynomial of a monomial ideal using the Newton polyhedron and some semigroups associated to the ideal.
Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach
Nero Budur, Mircea Mustata, Morihiko Saito
We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod p and invariants of singularities in positive chracteristic. We give in this setting…
Asymptotic invariants of line bundles
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
Let X be a smooth complex projective variety of dimension d. It is classical that ample line bundles on X satisfy many beautiful geometric, cohomological, and numerical properties…
Ehrhart polynomials and stringy Betti numbers
Mircea Mustata, Sam Payne
We study the connection between stringy Betti numbers of Gorenstein toric varieties and the generating functions of the Ehrhart polynomials of certain polyhedral regions. We use th…
F-thresholds and Bernstein-Sato polynomials
Mircea Mustata, Shunsuke Takagi, Kei-ichi Watanabe
We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in charact…