A conjecture on special linear systems of P³

2004/09/08 by Antonio Laface, Laface, Antonio, Luca Ugaglia +1
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Coding theory and cryptography #Polynomial and algebraic computation #math.AG #msc:14C20

paper · pdf · doi:10.48550/arxiv.math/0409128

4 pages, LaTeX

arxiv created 2004/09/08 · arxiv updated 2009/12/01

Abstract

In this note we consider the behavior of linear systems of P³ 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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