A contraction theorem for divisors fibering over a curve
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914955956060160 |
|---|---|
| author | Höring, Andreas Peternell, Thomas |
| author_facet | Höring, Andreas Peternell, Thomas |
| contents | Given a Q-Cartier divisor $S \subset X$ admitting a fibration $S \rightarrow B$ onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contracting S onto B. As a corollary we recover a contraction result for compact Kähler threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15993 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A contraction theorem for divisors fibering over a curve Höring, Andreas Peternell, Thomas Algebraic Geometry Complex Variables Given a Q-Cartier divisor $S \subset X$ admitting a fibration $S \rightarrow B$ onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contracting S onto B. As a corollary we recover a contraction result for compact Kähler threefolds. |
| title | A contraction theorem for divisors fibering over a curve |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2409.15993 |