Takeo Nishinou, Bernd Siebert
Abstract
We show that the counting of rational curves on a complete toric variety which are in general position relative to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory
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We show that the counting of rational curves on a complete toric variety which are in general position relative to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory
Key concepts: Mathematics, Toric variety, Prime (order theory), Pure mathematics, Tropical geometry, General position, Algebraic variety, Algebraic geometry