S. Tirabassi

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math.AG2026

Effective characterization of semi-abelian varieties

Jefferson Baudin, Sofia Tirabassi

We obtain effective characterizations of complex semi-abelian varieties in arbitrary dimension in terms of logarithmic irregularity and the first two logarithmic plurigenera, among…

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.AG2024

Cohomological rank functions and syzygies of projective bundles on abelian varieties

Minyoung Jeon, Sofia Tirabassi

We use Jiang--Pareschi's cohomological rank functions and techniques developed by Caucci and Ito to study syzygies of projective bundles on abelian varieties. Consequently, we gene…