On the B-Semiampleness Conjecture
The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the moduli part in a canonical bundle formula is semiample on a birational modification. We prove that the restriction of the moduli part to any sufficiently high divisorial valuation is semiample, assuming the conjecture in lowe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Association Epiga
2019-10-01
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| Series: | Épijournal de Géométrie Algébrique |
| Subjects: | |
| Online Access: | https://epiga.episciences.org/5063/pdf |
| _version_ | 1798029632997425152 |
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| author | Enrica Floris Vladimir Lazić |
| author_facet | Enrica Floris Vladimir Lazić |
| author_sort | Enrica Floris |
| collection | DOAJ |
| description | The B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the
moduli part in a canonical bundle formula is semiample on a birational
modification. We prove that the restriction of the moduli part to any
sufficiently high divisorial valuation is semiample, assuming the conjecture in
lower dimensions. |
| first_indexed | 2024-04-11T19:28:25Z |
| format | Article |
| id | doaj.art-4430a1a9f3b043a08ca6d4a6eeb798b1 |
| institution | Directory Open Access Journal |
| issn | 2491-6765 |
| language | English |
| last_indexed | 2024-04-11T19:28:25Z |
| publishDate | 2019-10-01 |
| publisher | Association Epiga |
| record_format | Article |
| series | Épijournal de Géométrie Algébrique |
| spelling | doaj.art-4430a1a9f3b043a08ca6d4a6eeb798b12022-12-22T04:07:04ZengAssociation EpigaÉpijournal de Géométrie Algébrique2491-67652019-10-01Volume 310.46298/epiga.2019.volume3.50635063On the B-Semiampleness ConjectureEnrica FlorisVladimir LazićThe B-Semiampleness Conjecture of Prokhorov and Shokurov predicts that the moduli part in a canonical bundle formula is semiample on a birational modification. We prove that the restriction of the moduli part to any sufficiently high divisorial valuation is semiample, assuming the conjecture in lower dimensions.https://epiga.episciences.org/5063/pdfmathematics - algebraic geometry14j10, 14e30, 14n30 |
| spellingShingle | Enrica Floris Vladimir Lazić On the B-Semiampleness Conjecture Épijournal de Géométrie Algébrique mathematics - algebraic geometry 14j10, 14e30, 14n30 |
| title | On the B-Semiampleness Conjecture |
| title_full | On the B-Semiampleness Conjecture |
| title_fullStr | On the B-Semiampleness Conjecture |
| title_full_unstemmed | On the B-Semiampleness Conjecture |
| title_short | On the B-Semiampleness Conjecture |
| title_sort | on the b semiampleness conjecture |
| topic | mathematics - algebraic geometry 14j10, 14e30, 14n30 |
| url | https://epiga.episciences.org/5063/pdf |
| work_keys_str_mv | AT enricafloris onthebsemiamplenessconjecture AT vladimirlazic onthebsemiamplenessconjecture |