6533b7defe1ef96bd1275d13
RESEARCH PRODUCT
Elementary (-1)-curves of P-3
Luca UgagliaAntonio Lafacesubject
Discrete mathematicsSequenceAlgebra and Number TheoryDegree (graph theory)Linear system14C20Finite sequenceMathematics - Algebraic GeometryCorollaryLinear systems fat pointsFamily of curvesLine (geometry)FOS: MathematicsSettore MAT/03 - GeometriaAlgebraic Geometry (math.AG)Computer Science::DatabasesMathematicsdescription
In this note we deal with rational curves in P^3 which are images of a line by means of a finite sequence of cubo-cubic Cremona transformations. We prove that these curves can always be obtained applying to the line a sequence of such transformations increasing at each step the degree of the curve. As a corollary we get a result about curves that can give speciality for linear systems of P^3.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-12-26 |