Regenerations and applications
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 p...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424001531/type/journal_article |
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| _version_ | 1832544275568525312 |
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| author | Giovanni Mongardi Gianluca Pacienza |
| author_facet | Giovanni Mongardi Gianluca Pacienza |
| author_sort | Giovanni Mongardi |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-84b5a34d901f4828b9370805f507357c |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-84b5a34d901f4828b9370805f507357c2025-02-03T10:39:42ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2024.153Regenerations and applicationsGiovanni Mongardi0Gianluca Pacienza1Alma Mater Studiorum, Università di Bologna, P.zza di porta san Donato, 5, 40126, Bologna, ItaliaUniversité de Lorraine, CNRS, IECL, F-54000 Nancy, France; E-mail: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.https://www.cambridge.org/core/product/identifier/S2050509424001531/type/journal_article14H4514J42 |
| spellingShingle | Giovanni Mongardi Gianluca Pacienza Regenerations and applications Forum of Mathematics, Sigma 14H45 14J42 |
| title | Regenerations and applications |
| title_full | Regenerations and applications |
| title_fullStr | Regenerations and applications |
| title_full_unstemmed | Regenerations and applications |
| title_short | Regenerations and applications |
| title_sort | regenerations and applications |
| topic | 14H45 14J42 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424001531/type/journal_article |
| work_keys_str_mv | AT giovannimongardi regenerationsandapplications AT gianlucapacienza regenerationsandapplications |