Resumen
We develop a framework to apply tropical and nonarchimedean analytic methods to multiplication maps for linear series on algebraic curves, studying degenerations of these multiplications maps when the special fiber is not of compact type. As an application, we give a new proof of the Gieseker–Petri theorem, including an explicit tropical criterion for a curve over a valued field to be Gieseker–Petri general.
| Idioma original | English |
|---|---|
| Páginas (desde-hasta) | 2043-2066 |
| Número de páginas | 24 |
| Publicación | Algebra and Number Theory |
| Volumen | 8 |
| N.º | 9 |
| DOI | |
| Estado | Published - 2014 |
Nota bibliográfica
Publisher Copyright:©2014 Mathematical Sciences Publishers.
Financiación
| 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 | 1135049, 1068689, 1149054 |
ASJC Scopus subject areas
- Algebra and Number Theory
Huella
Profundice en los temas de investigación de 'Tropical independence I: Shapes of divisors and a proof of the Gieseker–Petri theorem'. En conjunto forman una huella única.Citar esto
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