Regenerations and applications
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866916596076773376 |
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| author | Mongardi, Giovanni Pacienza, Gianluca |
| author_facet | Mongardi, Giovanni Pacienza, Gianluca |
| contents | Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective $K3$ surfaces. We show that, for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18248 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Regenerations and applications Mongardi, Giovanni Pacienza, Gianluca Algebraic Geometry 14H45, 14J42 Chen-Gounelas-Liedtke recently introduced a powerful regeneration technique, a process opposite to specialization, to prove existence results for rational curves on projective $K3$ surfaces. We show that, for projective irreducible holomorphic symplectic manifolds, an analogous regeneration principle holds and provides a very flexible tool to prove existence of uniruled divisors, significantly improving known results. |
| title | Regenerations and applications |
| topic | Algebraic Geometry 14H45, 14J42 |
| url | https://arxiv.org/abs/2310.18248 |