The shape of Hilbert-Kunz functions

DOI10.1007/978-3-030-91986-3_5zbMath1496.13025arXiv2106.14053OpenAlexW3176941033MaRDI QIDQ2080063

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/2106.14053

characteristic \(p\)representation ring quasipolynomial divisor class group Hilbert-Kunz function Hilbert-Kunz multiplicity Harder-Narasimhan filtration Frobenius homomorphism affine semigroup ring Cohen-Macaulay cones conic divisor Ehrhart's theorem local Riemann-Roch formula

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

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