Oct, 2006
Toric degenerations of toric varieties and tropical curves
DUKE MATHEMATICAL JOURNAL
- ,
- Volume
- 135
- Number
- 1
- First page
- 1
- Last page
- 51
- Language
- English
- Publishing type
- Research paper (scientific journal)
- Publisher
- DUKE UNIV PRESS
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.
- Link information
- ID information
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- ISSN : 0012-7094
- Web of Science ID : WOS:000241265000001