3 citations · 6 across the 7 of their papers we have counts for
7 papers
Relative compactifications of semiabelian Néron models, I
Kentaro Mitsui, Iku Nakamura
Let be a complete discrete valuation ring, its fraction field, , a polarized abelian variety over with ampl…
Delaunay decompositions in dimension 4
Iku Nakamura, Ken Sugawara
The Voronoi cone decompositions has been attracting our attention in the compactification problem of the moduli scheme of abelian varieties. The objects to add as the boundary of t…
Extended McKay correspondence for quotient surface singularities
Akira Ishii, Iku Nakamura
Let be a finite subgroup of $\mbox{GL}(2)$ acting on freely. The -orbit Hilbert scheme $G\mbox{-Hilb}(\mathbf{A}^2)$ is a minimal resolution of…
Compactification by GIT-stability of the moduli space of abelian varieties
Iku Nakamura
The moduli space $\cM_g$ of nonsingular projective curves of genus is compactified into the moduli $\bcM_g$ of Deligne-Mumford stable curves of genus . We compactify in a si…
Conics on a Generic Hypersurface
Masao Jinzenji, Iku Nakamura, Yasuki Suzuki
In this paper, we compute the contributions from double cover maps to genus 0 degree 2 Gromov-Witten invariants of general type projective hypersurfaces. Our results correspond to…
A compactification of the moduli scheme of abelian varieties
Iku Nakamura
We construct a canonical compactification of the moduli of abelian varieties over where is a primitive -th root of unity. This is very sim…