Numerical inequalities for quasi-projective surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912986807926784 |
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| author | Pardini, Rita Tirabassi, Sofia |
| author_facet | Pardini, Rita Tirabassi, Sofia |
| contents | Let $V$ be a smooth quasi-projective complex surface with compactification $(X,D)$ and set $\overline P_1(V):=h^0(X,K_X+D)$, $\overline q(V):=h^0(X,Ω^1_X(\log D))$. We prove that $\overline P_1(V)\ge \overline q(V)-1$ if $V$ has maximal Albanese dimension and $\overline P_1(V)\ge\frac 16( \overline q(V)-5)$ otherwise. Both bounds are sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27596 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Numerical inequalities for quasi-projective surfaces Pardini, Rita Tirabassi, Sofia Algebraic Geometry 14J10, 14E05 Let $V$ be a smooth quasi-projective complex surface with compactification $(X,D)$ and set $\overline P_1(V):=h^0(X,K_X+D)$, $\overline q(V):=h^0(X,Ω^1_X(\log D))$. We prove that $\overline P_1(V)\ge \overline q(V)-1$ if $V$ has maximal Albanese dimension and $\overline P_1(V)\ge\frac 16( \overline q(V)-5)$ otherwise. Both bounds are sharp. |
| title | Numerical inequalities for quasi-projective surfaces |
| topic | Algebraic Geometry 14J10, 14E05 |
| url | https://arxiv.org/abs/2603.27596 |