R. Pardini

collaborators

3 papers

math.AG2026

Numerical inequalities for quasi-projective surfaces

Rita Pardini, Sofia Tirabassi

Let $V$ be a smooth quasi-projective complex surface with compactification $(X, D)$ and set $P_{1} (V) := h^{0} (X, K_{X} + D)$ , $q (V) := h^{0} (X, I^c ◯_{X}^{1} (lo g D))$ . We prove that…

math.AG2025

Bounds for characteristic numbers of conic-line arrangements in the plane

Rita Pardini, Piotr Pokora

The main aim of the note is to provide an upper-bound for the characteristic number of conic-line arrangements with ordinary singularities in the complex projective plane.

math.AG2025

On some boundary divisors in the moduli spaces of stable Horikawa surfaces with $K^{2} = 2 p_{g} - 3$

Ciro Ciliberto, Rita Pardini

We describe the normal stable surfaces with K^2=2p_g-3 and p_g>14 whose only non canonical singularity is a cyclic quotient singularity of type 1/4k(1,2k-1) and the corresponding l…

Numerical inequalities for quasi-projective surfaces

Bounds for characteristic numbers of conic-line arrangements in the plane

On some boundary divisors in the moduli spaces of stable Horikawa surfaces with K2=2pg​−3

On some boundary divisors in the moduli spaces of stable Horikawa surfaces with $K^{2} = 2 p_{g} - 3$