103 citations · 107 across the 7 of their papers we have counts for
3 papers · 1 filter
F-thresholds and Bernstein-Sato polynomials
Mircea Mustata, Shunsuke Takagi, Kei-ichi Watanabe
We introduce and study invariants of singularities in positive characteristic called F-thresholds. They give an analogue of the jumping coefficients of multiplier ideals in charact…
The total coordinate ring of a normal projective variety
E. Javier Elizondo, Kazuhiko Kurano, Kei-ichi Watanabe
The total coordinate ring TC(X) of a normal variety is a generalization of the ring introduced and studied by Cox in connection with a toric variety. Consider a normal projective v…
F-regular and F-pure rings vs. log terminal and log canonical singularities
Nobuo Hara, Kei-ichi Watanabe
In this paper, we investigate the relationship of F-regular (resp. F-pure) rings and log terminal (resp. log canonical) singularities. Also, we extend the notions of F-regularity a…