10 citations · 28 across the 12 of their papers we have counts for
12 papers
The classification of smooth quotients of abelian surfaces
Takahiro Shibata
We classify smooth projective surfaces that are quotients of abelian surfaces by finite groups.
Q-abelian and -Fano finite quotients of abelian varieties
Takahiro Shibata
We study finite quotients of abelian varieties (fqav for short) i.e. quotients of abelian varieties by finite groups. We show that Q-abelian varieties (i.e. fqav's with …
Potential density of projective varieties having an int-amplified endomorphism
Jia Jia, Takahiro Shibata, De-Qi Zhang
We consider the potential density of rational points on an algebraic variety defined over a number field , i.e., the property that the set of rational points of becomes Zari…
Endomorphisms of quasi-projective varieties -- towards Zariski dense orbit and Kawaguchi-Silverman conjectures
Jia Jia, Takahiro Shibata, Junyi Xie +1
Let be a quasi-projective variety and a finite surjective endomorphism. We consider Zariski Dense Orbit Conjecture (ZDO), and Adelic Zariski Dense Orbit Conjec…
Zariski density of points with maximal arithmetic degree for surfaces
Kaoru Sano, Takahiro Shibata
We prove that any surjective self-morphism with on a potentially dense smooth projective surface defined over a number field has densely many -rational points for…
Zariski density of points with maximal arithmetic degree
Kaoru Sano, Takahiro Shibata
Given a dominant rational self-map on a projective variety over a number field, we can define the arithmetic degree at a rational point. It is known that the arithmetic degree at a…
Invariant subvarieties with small dynamical degree
Yohsuke Matsuzawa, Sheng Meng, Takahiro Shibata +2
Let be a dominant self-morphism of an algebraic variety over an algebraically closed field of characteristic zero. We consider the set of -periodic…
Non-density of points of small arithmetic degrees
Yohsuke Matsuzawa, Sheng Meng, Takahiro Shibata +1
Given a surjective endomorphism on a projective variety over a number field, one can define the arithmetic degree of at a point in . The Kawaguchi…
Ample canonical heights for endomorphisms on projective varieties
Takahiro Shibata
We define an "ample canonical height" for an endomorphism on a projective variety, which is essentially a generalization of the canonical heights for polarized endomorphisms introd…
Arithmetic degrees for dynamical systems over function fields of characteristic zero
Yohsuke Matsuzawa, Kaoru Sano, Takahiro Shibata
We study arithmetic degree of a dominant rational self-map on a smooth projective variety over a function field of characteristic zero. We see that the notion of arithmetic degree…
Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
Yohsuke Matsuzawa, Kaoru Sano, Takahiro Shibata
For a dominant rational self-map on a smooth projective variety defined over a number field, Kawaguchi and Silverman conjectured that the (first) dynamical degree is equal to the a…
On generic vanishing for pluricanonical bundles
Takahiro Shibata
We study cohomology support loci and higher direct images of (log) pluricanonical bundles of smooth projective varieties or log canonical pairs. We prove that the 0-th cohomology s…