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RESEARCH PRODUCT
On multiples of divisors associated to Veronese embeddings with defective secant variety
Antonio LafaceLuca Ugagliasubject
DivisorGeneral MathematicsLinear systemLinear systems14C20CombinatoricsMathematics - Algebraic GeometrySecant varietyLinear systems fat pointsFOS: MathematicsSettore MAT/03 - Geometriafat pointsAlgebraic Geometry (math.AG)General positionMultipleMathematicsdescription
In this note we consider multiples aD, where D is a divisor of the blow-up of P^n along points in general position which appears in the Alexander and Hirschowitz list of Veronese embeddings having defective secant varieties. In particular we show that there is such a D with h^1(X,D) > 0 and h^1(X,2D) = 0.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-12-01 |