Uniruledness of Strata of Holomorphic Differentials in Small Genus
| Autor: | Ignacio Barros |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Mathematics::Complex Variables General Mathematics 010102 general mathematics Holomorphic function Birational geometry 01 natural sciences Mathematics - Algebraic Geometry Quadratic equation Mathematics::Algebraic Geometry Genus (mathematics) 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry Algebraic Geometry (math.AG) Mathematics |
| DOI: | 10.48550/arxiv.1702.06716 |
| Popis: | We address the question concerning the birational geometry of the strata of holomorphic and quadratic differentials. We show strata of holomorphic and quadratic differentials to be uniruled in small genus by constructing rational curves via pencils on K3 and del Pezzo surfaces respectively. Restricting to genus $3\leq g\leq6$, we construct projective bundles over a rational varieties that dominate the holomorphic strata with length at most $g-1$, hence showing in addition that these strata are unirational. Comment: Final version, to appear in Advances in Mathematics |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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