1 citations · 1 across the 3 of their papers we have counts for
4 papers
Mordell--Weil groups of quasi-elliptic surfaces in characteristic 3
Toshiyuki Katsura
In characteristic , we establish a concrete relationship between the torsion rank of the elementary abelian group of global sections of quasi-elliptic surfaces over the proje…
Isogeny graphs associated to Moret-Bailly families of supersingular abelian surfaces
Toshiyuki Katsura, Takuya Yamauchi
For an odd prime and any prime , we study finite directed graphs arising from the set of all equivalence classes of Moret-Bailly families of abelian surfaces in cha…
The 3-divisibility of divisors on K3 surfaces in characteristic 3
Toshiyuki Katsura, Matthias Schütt
We describe the possible 3-divisible configurations of smooth rational curves on K3 surfaces in characteristic 3 and fully classify the resulting triple covers.
On the height of Calabi-Yau varieties in positive characteristic
G. van der Geer, T. Katsura
We study invariants of Calabi-Yau varieties in positive characteristic, especially the height of the Artin-Mazur formal group. We illustrate these results by Calabi-Yau varieties o…