R. Pardini

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20242026

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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 $P_{1} (V) := h^{0} (X, K_{X} + D)$ , $q (V) := h^{0} (X, Ω_{X}^{1} (lo g D))$ . We prove that $…

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…

math.AG2024

2-Gorenstein stable surfaces with $K_{X}^{2} = 1$ and $χ (X) = 3$

Stephen Coughlan, Marco Franciosi, Rita Pardini +1

The compactification $M_{1, 3}$ of the Gieseker moduli space of surfaces of general type with $K_{X}^{2} = 1$ and $χ (X) = 3$ in the moduli space of stable surfaces parametrises…

Numerical inequalities for quasi-projective surfaces

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

2-Gorenstein stable surfaces with KX2​=1 and χ(X)=3

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

2-Gorenstein stable surfaces with $K_{X}^{2} = 1$ and $χ (X) = 3$