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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On a class of special linear systems of $ \mathbb{P}^3$


Authors: Antonio Laface and Luca Ugaglia
Journal: Trans. Amer. Math. Soc. 358 (2006), 5485-5500
MSC (2000): Primary 14C20
Published electronically: July 20, 2006
MathSciNet review: 2238923
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Abstract: In this paper we deal with linear systems of $ \mathbb{P}^3$ through fat points. We consider the behavior of these systems under a 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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Additional Information

Antonio Laface
Affiliation: Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, 20100 Milano, Italy
Address at time of publication: Department of Mathematics and Statistics, Queen’s University, Kingston, Ontario, Canada K7L 3N6
Email: antonio.laface@unimi.it, alaface@mast.queensu.ca

Luca Ugaglia
Affiliation: Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, 20100 Milano, Italy
Address at time of publication: Via Petrarca 24, 14100 Asti, Italy
Email: luca.ugaglia@unimi.it, luca.ugaglia@gmail.com

DOI: http://dx.doi.org/10.1090/S0002-9947-06-03891-8
PII: S 0002-9947(06)03891-8
Keywords: Linear systems, fat points
Received by editor(s): December 8, 2003
Received by editor(s) in revised form: November 2, 2004
Published electronically: July 20, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.