TY - JOUR
T1 - A few questions about curves on surfaces
AU - Ciliberto, Ciro
AU - Knutsen, Andreas Leopold
AU - Lesieutre, John
AU - Lozovanu, Victor
AU - Miranda, Rick
AU - Mustopa, Yusuf
AU - Testa, Damiano
N1 - Publisher Copyright:
© 2016, Springer-Verlag Italia.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s12215-016-0284-4
DO - 10.1007/s12215-016-0284-4
M3 - Article
AN - SCOPUS:85027034721
SN - 0009-725X
VL - 66
SP - 195
EP - 204
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
IS - 2
ER -