4 citations · 8 across the 6 of their papers we have counts for
6 papers
Cartier algebras through the lens of -families
Anna Brosowsky
We study -graded systems of ideals in , which are sequences of ideals giving rise to Cartier algebras on . We identify how properties of these systems (or modifications of…
Limit -signature functions of two-variable binomial hypersurfaces
Anna Brosowsky, Izzet Coskun, Suchitra Pande +1
The -signature is a fundamental numerical invariant of singularities in positive characteristic. Its positivity detects strong -regularity, an important class of singularitie…
Maximal skew sets of lines on a Hermitian surface and a modified Bron-Kerbosch algorithm
Anna Brosowsky, Haoyu Du, Madhav Krishna +3
In this paper, we study maximal sets of skew lines on Hermitian surfaces. We give a new algorithm to compute these sets and give some computational results for Hermitian surfaces o…
The Cartier core map for Cartier algebras
Anna Brosowsky
Let be a commutative Noetherian -finite ring of prime characteristic and let be a Cartier algebra. We define a self-map on the Frobenius split locus of the pai…
Geometry of Smooth Extremal Surfaces
Anna Brosowsky, Janet Page, Tim Ryan +1
We study the geometry of the smooth projective surfaces that are defined by Frobenius forms, a class of homogenous polynomials in prime characteristic recently shown to have minima…
Parametrizations of -Nonnegative Matrices: Cluster Algebras and -Positivity Tests
Anna Brosowsky, Sunita Chepuri, Alex Mason
A -positive matrix is a matrix where all minors of order or less are positive. Computing all such minors to test for -positivity is inefficient, as there are $\sum_{\ell=…