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math.AG2000
On modular properties of odd theta-characteristics
Lucia Caporaso
A general canonical curve X determines a finite set T(X) of hyperplanes, which is in bijective correspondence with the set of odd theta-characteristics of X. The definition of T(X)…
math.AG2000
Recovering plane curves from their bitangents
Lucia Caporaso, Edoardo Sernesi
We show that a general plane curve of degree at least 4 is uniquely determined by the full set of its bitangent lines. This problem has an elementary solution for degree at least 5…
math.AG2000
Remarks about uniform boundedness of rational points over function fields
Lucia Caporaso
We prove a few uniform versions of the Mordell-Lang Conjecture and of the Shafarevich Conjecture for curves over function fields and their rational points. The main focus is on fun…