1 citations · 1 across the 7 of their papers we have counts for
4 papers · 1 filter
Lech-Mumford constant and stability of local rings
Linquan Ma, Ilya Smirnov
We study further Mumford's notion of local semistability and, in particular, show that semistable singularities are log canonical under mild assumptions. We provide many new exampl…
Hilbert-Kunz multiplicity of quadrics via Ehrhart theory
Igor Pak, Boris Shapiro, Ilya Smirnov +1
We show that the Hilbert-Kunz multiplicity of the d-dimensional non-degenerate quadric hypersurface of characteristic p > 2 is a rational function of p composed from the Ehrhart po…
F-singularities of polynomials with square-free support
Aldo Conca, Alessandro De Stefani, Luis Núñez-Betancourt +1
We show that the intersection of the irreducible components of a hypersurface defined by a polynomial with square-free support has F-rational singularities in characteristic .…
The defect of the F-pure threshold
Alessandro De Stefani, Luis Núñez-Betancourt, Ilya Smirnov
Introduced by Takagi and Watanabe, the F-pure threshold is an invariant defined in terms of the Frobenius homomorphism. While it finds applications in various settings, it is prima…