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arXiv · 2101.00475

Frobenius test exponent for ideals generated by filter regular sequences

Duong Thi Huong·Pham Hung Quy
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Abstract

Let $(R,\frak m)$ be a Noetherian local ring of prime characteristic $p>0$, and $t$ an integer such that $H_{\frak m}^j(R)/0^F_{H^j_{\frak m}(R)}$ has finite length for all $j<t$. The aim of this paper is to show that there exists an uniform bound for Frobenius test exponents of ideals generated by filter regular sequences of length at most $t$.

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Duong Thi Huong, Pham Hung Quy. 2021-01-20. Frobenius test exponent for ideals generated by filter regular sequences. https://arxiv.org/abs/2101.00475

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