45 citations · 97 across the 32 of their papers we have counts for
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A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf II
Sho Ejiri, Akiyoshi Sannai
In this paper, we prove that a smooth projective variety of characteristic is an ordinary abelian variety if and only if is pseudo-effective and …
A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf
Akiyoshi Sannai, Hiromu Tanaka
For an ordinary abelian variety , is decomposed into line bundles for every positive integer . Conversely, if a smooth projective variety satisfies t…
Homotopy invariance of higher K-theory for abelian categories
Satoshi Mochizuki, Akiyoshi Sannai
The main theorem in this paper is that the base change functor from a noetherian abelian category to its noetherian polynomial category induces an isomorphism on K-theory. The main…
Characterization of varieties of Fano type via singularities of Cox rings
Yoshinori Gongyo, Shinnosuke Okawa, Akiyoshi Sannai +1
We show that every Mori dream space of globally -regular type is of Fano type. As an application, we give a characterization of varieties of Fano type in terms of the singularit…
Jet schemes of homogeneous hypersurfaces
Shihoko Ishii, Akiyoshi Sannai, Kei-ichi Watanabe
This paper studies the singularities of jet schemes of homogeneous hypersurfaces of general type. We obtain the condition of the degree and the dimension for the singularities of t…