pith. sign in

The limit as p -> infinity of the Hilbert-Kunz multiplicity of sum(x_i^(d_i))

· 2010 · math.AC · arXiv 1007.2004

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
abstract

Let p be a prime. The Hilbert-Kunz multiplicity, mu, of the element sum(x_i^(d_i)) of (Z/p)[x_1,..., x_s] depends on p in a complicated way. We calculate the limit of mu as p -> infinity. In particular when each d_i is 2 we show that the limit is 1 + the coefficient of z^(s-1) in the power series expansion of sec z + tan z.

fields

math.AG 1

years

2021 1

verdicts

UNVERDICTED 1

representative citing papers

Varieties with ample Frobenius-trace kernel

math.AG · 2021-10-28 · unverdicted · novelty 7.0

The Frobenius trace kernel is ample on projective spaces and, for curves, surfaces and threefolds, only on Fano varieties of Picard rank 1.

citing papers explorer

Showing 1 of 1 citing paper.

  • Varieties with ample Frobenius-trace kernel math.AG · 2021-10-28 · unverdicted · none · ref 3 · internal anchor

    The Frobenius trace kernel is ample on projective spaces and, for curves, surfaces and threefolds, only on Fano varieties of Picard rank 1.