Tropical independence I: Shapes of divisors and a proof of the Gieseker–Petri theorem
نویسنده
چکیده
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 GiesekerPetri Theorem, including an explicit tropical criterion for a curve over a valued field to be Gieseker-Petri general.
منابع مشابه
EXTREMAL EFFECTIVE DIVISORS OF BRILL-NOETHER AND GIESEKER-PETRI TYPE IN M1,n
We show that certain divisors of Brill-Noether and Gieseker-Petri type span extremal rays of the effective cone in the moduli space of stable genus one curves with n ordered marked points. In particular, they are different from the infinitely many extremal rays found in [CC].
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