15 citations · 17 across the 6 of their papers we have counts for
6 papers
Projective normality and basepoint-freeness thresholds of general polarized abelian varieties
Atsushi Ito
For a polarized abelian variety , Z. Jiang and G. Pareschi introduce an invariant , called the basepoint-freeness threshold. Using this invariant, we show that a gen…
M-regularity of -twisted sheaves and its application to linear systems on abelian varieties
Atsushi Ito
G. Pareschi and M. Popa give criterions for global generations and surjectivity of multiplication maps of global sections of coherent sheaves on abelian varieties in the theory of…
Examples on Loewy filtrations and K-stability of Fano varieties with non-reductive automorphism groups
Atsushi Ito
It is known that the automorphism group of a K-polystable Fano manifold is reductive. Codogni and Dervan construct a canonical filtration of the section ring, called Loewy filtrati…
On separable higher Gauss maps
Katsuhisa Furukawa, Atsushi Ito
We study the -th Gauss map in the sense of F.~L.~Zak of a projective variety over an algebraically closed field in any characteristic. For all integer $…
The class of the affine line is a zero divisor in the Grothendieck ring: via -Grassmannians
Atsushi Ito, Makoto Miura, Shinnosuke Okawa +1
Motivated by [Bor] and [Mar], we show the equality in the Grothendieck ring of varieties, where is a pair of Calabi-Yau 3…
Seshadri constants and degrees of defining polynomials
Atsushi Ito, Makoto Miura
In this paper, we study a relation between Seshadri constants and degrees of defining polynomials. In particular, we compute the Seshadri constants on Fano varieties obtained as co…