Frobenius test exponent for ideals generated by filter regular sequences

Duong Thi Huong, Pham Hung Quy

Let $(R,\mathfrak{m})$ be a Noetherian local ring of prime characteristic $p>0$, and $t$ an integer such that $H_{\mathfrak{m}}^j(R)/0_{H_{\mathfrak{m}}^j(R)}^F$ has finite length for all $j<t$.…