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math.AG2026
On the Rank of Normal Functions on Pointed Curves
Lorenzo Fassina
We study a natural class of normal functions on the moduli space of pointed curves and determine their rank at every point. We prove that the rank is maximal outside the correspond…
math.AG2026
Normal Functions, Even Theta Characteristics and the Theta Divisor
Indranil Biswas, Lorenzo Fassina, Gian Pietro Pirola
Let be a point in the moduli space of curves , with , lying outside a countable union of closed nowhere--dense subsets of an analytic parameter space for…
math.AG2026
A few remarks on sections of the Picard bundle of family of curves
Lorenzo Fassina, Gian Pietro Pirola
We study sections of the relative Picard bundle of a family of curves of genus through the rank of the associated normal function. Using Griffiths' formula for the infin…