Abstract

BADILLA-CESPEDES, Wágner. On the F-pure threshold of the homogeneous maximal ideal of a Stanley-Reisner ring. Rev. Mat [online]. 2024, vol.31, n.2, pp.153-165. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v31i2.55788.

In prime characteristic, the F-pure threshold is a numerical invariant measuring singularities. Few estimates of this number are known. In this note, we explicitly compute the F-pure threshold of the homogeneous maximal ideal in a Stanley-Reisner ring and prove that this number and the splitting dimension are same.

Keywords : F-pure threshold; Stanley-Reisner rings; Prime characteristic rings..

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