On a class of special linear systems of P^3

By Antonio Laface, L. Ugaglia. 2003

50 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/41678aa38f6c06f5e5e45fc8d9a982ef093eab4c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Uwe Nagel
2. Juan Migliore
3. R. Mir'o-Roig
4. A. V. Geramita
5. Karim A. Adiprasito
6. Brian Harbourne

In Statistical and Nonlinear Physics

1. R. Mir'o-Roig
2. Juan Migliore
3. Uwe Nagel

Citations in the corpus

• On the Weak Lefschetz Property for Powers of Linear Forms (2010, methodology): “Using Cremona transformations, one can relate two different linear systems; see [Nagata 1960; Laface and Ugaglia 2006; Dumnicki 2009, Theorem 3].”