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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

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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
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:
DateEvent
April 2017Published
8 November 2016Available
18 May 2016Accepted
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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