8 citations · 11 across the 2 of their papers we have counts for
2 papers
math.AG2004★ 8 cited
Toric degenerations of toric varieties and tropical curves
Takeo Nishinou, Bernd Siebert
We show that the counting of rational curves on a complete toric variety that are in general position to the toric prime divisors coincides with the counting of certain tropical cu…
math.SG2003★ 3 cited
Convergence of Hermitian-Yang-Mills Connections on Kähler Surfaces and mirror symmetry
Takeo Nishinou
The purpose of this paper is to exhibit a natural construction between complex geometry and symplectic geometry following the idea of mirror symmetry. Suppose we are given a family…