Resumen
Building on our earlier results on tropical independence and shapes of divisors in tropical linear series, we give a tropical proof of the maximal rank conjecture for quadrics. We also prove a tropical analogue of Max Noether’s theorem on quadrics containing a canonically embedded curve, and state a combinatorial conjecture about tropical independence on chains of loops that implies the maximal rank conjecture for algebraic curves.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 1601-1640 |
| Número de páginas | 40 |
| Publicación | Algebra and Number Theory |
| Volumen | 10 |
| N.º | 8 |
| DOI | |
| Estado | Published - 2016 |
Nota bibliográfica
Publisher Copyright:© 2016 Mathematical Sciences Publishers.
Financiación
We thank D. Abramovich, E. Ballico, G. Farkas, C. Fontanari, E. Larson, and D. Ranganathan for helpful conversations related to this work and comments on earlier versions of this paper. Payne was supported in part by NSF CAREER DMS-1149054 and is grateful for ideal working conditions at the Institute for Advanced Study in spring 2015.
| Financiadores | Número del financiador |
|---|---|
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | DMS-1149054 |
ASJC Scopus subject areas
- Algebra and Number Theory
Huella
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