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math.AC2026
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…
math.AC2025
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…
math.AC2022★ 2 cited
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…