In this paper [1] Ciliberto proposes a conjecture in order to characterize special linear systems of IPn through multiple base points. In this note we give a counterexample to this conjecture by showing that there is a substantial difference between the speciality of linear systems on IP 2 and those of IP3.
Laface, A., Ugaglia, L. (2004). A counterexample to a conjecture on linear systems on IP3. ADVANCES IN GEOMETRY, 4(3), 365-371 [10.1515/advg.2004.021].
A counterexample to a conjecture on linear systems on IP3
UGAGLIA, Luca
2004-01-01
Abstract
In this paper [1] Ciliberto proposes a conjecture in order to characterize special linear systems of IPn through multiple base points. In this note we give a counterexample to this conjecture by showing that there is a substantial difference between the speciality of linear systems on IP 2 and those of IP3.
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