3 papers
math.AG2025
Multiscale differentials and wonderful models
Prabhat Devkota, Antonios-Alexandros Robotis, Adrian Zahariuc
We study the relationships between several varieties parametrizing marked curves with differentials in the literature. More precisely, we prove that the space of mu…
math.AG2018
The Severi problem for abelian surfaces in the primitive case
Adrian Zahariuc
We prove that the irreducible components of primitive class Severi varieties of general abelian surfaces are completely determined by the maximal factorization through an isogeny o…
math.AG2018
A Riemann-Hurwitz-Plucker formula
Brian Osserman, Adrian Zahariuc
We prove a simultaneous generalization of the classical Riemann-Hurwitz and Plucker formulas, addressing the total inflection of a morphism from a (smooth, projective) curve to an…