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arXiv · 1106.5686

Frobenius and Cartier algebras of Stanley-Reisner rings

Josep Alvarez Montaner·Alberto F. Boix·Santiago Zarzuela
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Abstract

We prove that the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring as well as its Matlis dual notion of Cartier algebra can be only principally generated or infinitely generated. As a consequence we are able to show that the set of F-jumping numbers of generalized test ideals associated to complete Stanley-Reisner rings form a discrete set.

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Josep Alvarez Montaner, Alberto F. Boix, Santiago Zarzuela. 2011-06-28. Frobenius and Cartier algebras of Stanley-Reisner rings. https://arxiv.org/abs/1106.5686

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