A counterexample to a conjecture on linear systems on P^3
In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.
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arXiv subjects
Luca Ugaglia
Publications and source records attributed to Luca Ugaglia.
A conjecture on special linear systems of P^3
In this note we consider the behavior of linear systems of P^3 through fat points under a cubo-cubic Cremona transformation. This allows us to produce a class of special systems which we conjecture to be the only ones.
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On a class of special linear systems of P^3
In this paper we deal with linear systems of P^3 through fat points. We consider the behavior of these systems under a cubo-cubic Cremona transformation that allows us to produce a class of special systems which we conjecture to be the only ones.
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Special linear Systems on Toric Varieties
We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for linear systems on rational surfaces.
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Quasi-homogeneous linear systems on $\mathbb{P}^2$ with base points of multiplicity 5
In this paper we consider linear systems of $\mathbb{P}^2$ with all but one of the base points of multiplicity 5. We give an explicit way to evaluate the dimensions of such systems.
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