New estimates of Hilbert-Kunz multiplicities for local rings of fixed dimension

Details New estimates of Hilbert-Kunz multiplicities for local rings of fixed dimension New estimates of Hilbert-Kunz multiplicities for local rings of fixed dimension

2011-01-26

arxiv.org/abs/1101.5078v2

Mathematics

Commutative Algebra

19 pages, submitted for publication, a few typos corrected including one in the statement of Theorem 6.7

Scientific paper

We present results on the Watanabe-Yoshida conjecture for the Hilbert-Kunz
multiplicity of a local ring of positive characteristic that either has
Hilbert-Samuel multiplicity less than or equal to five, or dimension less than
or equal to six. For non-regular rings with fixed dimension, a new lower bound
for the Hilbert-Kunz multiplicity is obtained.

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