17 citations · 69 across the 26 of their papers we have counts for
6 papers · 1 filter
Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties
Atsushi Ito, Makoto Miura, Shinnosuke Okawa +1
In this paper, we discuss the problem of whether the difference of the classes of a Fourier--Mukai pair of smooth projective varieties in the Grothendieck ring o…
-functions of Calabi--Yau 3-folds in Grassmannians
Daisuke Inoue, Atsushi Ito, Makoto Miura
We study -functions of Calabi--Yau 3-folds with Picard number one which are zero loci of general sections of direct sums of globally generated irreducible homogeneous vector bun…
Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians
Daisuke Inoue, Atsushi Ito, Makoto Miura
Based on the method by [Küc95], we give a procedure to list up all complete intersection Calabi--Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles…
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…
Calabi--Yau complete intersections in exceptional Grassmannians
Atsushi Ito, Makoto Miura, Shinnosuke Okawa +1
We classify completely reducible equivariant vector bundles on Grassmannians of exceptional Lie groups which give Calabi--Yau 3-folds as complete intersections. In particular, we f…
A combinatorial description of dual defects of toric varieties
Katsuhisa Furukawa, Atsushi Ito
From a finite set in a lattice, we can define a toric variety embedded in a projective space. In this paper, we give a combinatorial description of the dual defect of the toric var…