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A few questions about curves on surfaces
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Ciliberto, C., Knutsen, A. L., Lesieutre, J., Lozovanu, V., Miranda, R., Mustopa, Y. and Testa, Damiano (2017) A few questions about curves on surfaces. Rendiconti del circolo matematico di Palermo, 66 (2). pp. 195-204. doi:10.1007/s12215-016-0284-4
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Official URL: http://doi.org/10.1007/s12215-016-0284-4
Abstract
In this note we address the following kind of question: let X be a smooth, irreducible, projective surface and D a divisor on X satisfying some sort of positivity hypothesis, then is there some multiple of D depending only on X which is effective or movable? We describe some examples, discuss some conjectures and prove some results that suggest that the answer should in general be negative, unless one puts some really strong hypotheses either on D or on X.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Curves on surfaces | ||||||||
| Journal or Publication Title: | Rendiconti del circolo matematico di Palermo | ||||||||
| Publisher: | Springer | ||||||||
| ISSN: | 0009-725X | ||||||||
| Official Date: | April 2017 | ||||||||
| Dates: |
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| Date of first compliant deposit: | 2 June 2016 | ||||||||
| Volume: | 66 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | pp. 195-204 | ||||||||
| DOI: | 10.1007/s12215-016-0284-4 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access |
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