7 papers
Frobenius liftability of isolated complete intersections
Tatsuro Kawakami, Teppei Takamatsu
We classify Frobenius liftable normal isolated complete intersection singularities of dimension at least three over an algebraically closed field of positive characteristic. In dim…
A cusp surface singularity is Frobenius liftable
Tatsuro Kawakami, Teppei Takamatsu
We show that a cusp surface singularity is Frobenius liftable. As a consequence, we determine all the Frobenius liftable surface singularities.
Fedder type criteria for quasi--splitting II
Tatsuro Kawakami, Teppei Takamatsu, Shou Yoshikawa
In this paper, we apply Fedder-type criteria for quasi--splitting to provide explicit computations of quasi--split heights for Calabi-Yau hypersurfaces, bielliptic surfaces,…
On Steenbrink vanishing for rational singularities in positive characteristic
Tatsuro Kawakami
We show a special case of Steenbrink vanishing for rational singularities in positive characteristic. As a consequence, we prove that strongly -regular threefolds and klt threef…
Extending one-forms on -regular singularities
Tatsuro Kawakami, Kenta Sato
We prove the logarithmic extension theorem for one-forms on strongly -regular singularities. Additionally, we establish the logarithmic extension theorem for one-forms on three-…
On Frobenius liftability of surface singularities
Tatsuro Kawakami, Teppei Takamatsu
We show that a plt surface singularity is -liftable if and only if it is -pure and is not a rational double point of type in characteristic . As a c…
Steenbrink-type vanishing for surfaces in positive characteristic
Tatsuro Kawakami
Let be a pair of a normal surface over a perfect field of characteristic and an effective -divisor on . We prove that Steenbrink-type vanishing hol…