3 papers
math.GT2026
Infinitely many Lefschetz pencils on ruled surfaces
Seraphina Eun Bi Lee, Carlos A. Serván
We show that any ruled surface with admits infinitely many inequivalent Lefschetz pencils of fixed genus and number of base points. Our proof proceeds by building i…
math.AG2025
On the uniqueness of the Prym map
Carlos A. Serván
The classical Prym construction associates to a smooth, genus complex curve equipped with a nonzero cohomology class , a principally po…
math.GT2025
Local rigidity of covering constructions and Weil--Petersson subvarieties of the moduli space of curves
Carlos A. Serván, Carlos A. Serván
We show that totally geodesic subvarieties of the moduli space of genus curves with marked points, endowed with the Weil--Petersson metric, are locally r…