26 citations · 140 across the 56 of their papers we have counts for
71 papers
On the maximal variation problem and Lefschetz pencils
Davide Bricalli, Gian Pietro Pirola
We study the maximal variation problem for linear systems associated with a very ample line bundle, using Hodge theory and Picard-Lefschetz theory. We provide an affirmative answer…
Normal Functions, Even Theta Characteristics and the Theta Divisor
Indranil Biswas, Lorenzo Fassina, Gian Pietro Pirola
Let be a general point in the moduli space of curves with . Let be a connected compact subgroup of real dimension of the Jacobian, and let $…
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…
Conic linear series and pencils of plane quartics
Riccardo Moschetti, Gian Pietro Pirola, Lidia Stoppino
We study linear systems cut out by cones of fixed degree on a smooth complex curve . We develop a systematic study of the families of such systems, consider…
Simplicity of some Jacobians with many automorphisms
J. C. Naranjo, A. Ortega, G. P. Pirola +1
We study an explicit -dimensional family of Jacobian varieties of dimension , arising from quotient curves of unramified cyclic coverings of prime degree…
Pencils of plane cubics with one base point
Riccardo Moschetti, Gian Pietro Pirola, Lidia Stoppino
We study pencils of plane cubics with only one base point and general member smooth, giving a complete classification. Under the additional hypothesis that all members are irreduci…