The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Tropical curves, their Jacobians and theta functions
Abstract
We study Jacobian varieties for tropical curves. These are real tori equipped with integral affine structure and symmetric bilinear form. We define tropical counterpart of the theta function and establish tropical versions of the Abel-Jacobi, Riemann-Roch and Riemann theta divisor theorems.
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Citations
Cites
Large Complex Structure Limits of K3 Surfaces
Gross, M., & Wilson, P. M. H. (2000) · Journal of Differential Geometry · doi:10.4310/jdg/1090341262 · Cited by 242
Cited by
Tropical geometry and its applications
Mikhalkin, G. (2007) · Proceedings of the International Congress of Mathematicians Madrid, August 22–30, 2006 · doi:10.4171/022-2/40 · Cited by 317
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Metadata
- Authors
- Mikhalkin, G., & Zharkov, I.
- Venue
- Contemporary Mathematics
- Publisher
- American Mathematical Society
- Published
- 2008
- Pages
- 203-230
- ISSN
- 0271-4132 (ISSN-L)
- 1098-3627
- OpenAlex
- W1485445902
- Cited by
- 243
- References
- 1
- Type
- other
- Language
- en
- Open access
- closed
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- Mikhalkin, G., & Zharkov, I. (2008). Tropical curves, their Jacobians and theta functions. Contemporary Mathematics. https://doi.org/10.1090/conm/465/09104
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
