6533b825fe1ef96bd12833a7

RESEARCH PRODUCT

A counterexample to a conjecture on linear systems on ℙ3

A LafaceLuca Ugaglia

subject

Settore MAT/03 - GeometriaGeometry and TopologyLinear systems multiplicity

description

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.

https://doi.org/10.1515/advg.2004.021