A few questions about curves on surfaces

Ciro Ciliberto, Andreas Leopold Knutsen, John Lesieutre, Victor Lozovanu, Rick Miranda, Yusuf Mustopa, Damiano Testa

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)195-204
Number of pages10
JournalRendiconti del Circolo Matematico di Palermo
Volume66
Issue number2
DOIs
StatePublished - Aug 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'A few questions about curves on surfaces'. Together they form a unique fingerprint.

  • Cite this

    Ciliberto, C., Knutsen, A. L., Lesieutre, J., Lozovanu, V., Miranda, R., Mustopa, Y., & Testa, D. (2017). A few questions about curves on surfaces. Rendiconti del Circolo Matematico di Palermo, 66(2), 195-204. https://doi.org/10.1007/s12215-016-0284-4