M. Lopes

collaborators

3 papers

math.AG2026

The parity of theta characteristics is preserved by infinitesimal deformations

Margarida Mendes Lopes, Rita Pardini, Roberto Pignatelli

In this note, given a family of relative dimension one over a smooth curve, we determine the parity of the restriction of a relative theta characteristic to an arbitrary multiple o…

math.AG2026

Surfaces with canonical map of odd degree

Margarida Mendes Lopes, Rita Pardini, Roberto Pignatelli

Let $S$ be a smooth complex minimal surface of general type with $p_{g} := h^{0} (K_{S}) \geq 4$ whose canonical map is generically finite of odd degree $d > 1$ onto a surface $I^£$ . We assume t…

math.AG2025

On surfaces of high degree with respect to the sectional genus

Ciro Ciliberto, Thomas Dedieu, Margarida Mendes Lopes

We study and classify linearly normal surfaces in $P^{n}$ , of degree $d$ and sectional genus $g$ , such that $d \geq 2 g - 1$ .