80 citations · 91 across the 19 of their papers we have counts for
20 papers
Lifting iterated Frobenius over
Yukihide Takayama
Let be a smooth scheme over a perfect field of positive characteristic. M.V.~Nori and V.~Srinivas studied infinitesimal liftings of Frobenius morphism . Namely, g…
On equivariant formal deformation theory
Stefan Schröer, Yukihide Takayama
Using the set-up of deformation categories of Talpo and Vistoli, we re-interpret and generalize, in the context of cartesian morphisms in abstract categories, some results of Rim c…
Calabi-Yau threefolds in positive characteristic
Yukihide Takayama
In this note, an overview of Calabi-Yau varieties in positive characteristic is presented. Although Calabi-Yau varieties in characteristic zero are unobstructed, there are examples…
An Example of non-simply connected non-liftable Calabi-Yau 3-fold in positive characteristic
Yukihide Takayama
We show an example of non-simply connected non-liftable Calabi-Yau threefold over an algebraically closed field of characteristic . It is constructed from a simply connected exa…
On Kodaira type vanishing for Calabi-Yau threefolds in positive characteristic
Yukihide Takayama
We consider Calabi-Yau threefolds over an algebraically closed field of characteristic that are not liftable to characteristic or liftable ones with . It is…
Kodaira type vanishing theorem for the Hirokado variety
Yukihide Takayama
The Hirokado variety is a Calabi-Yau threefold in characteristic 3 that is not liftable either to characteristic~0 or the ring of the second Witt vectors. Although Deligne-Il…