6533b835fe1ef96bd129f509
RESEARCH PRODUCT
Rational normal curves and Hadamard products
Enrico CarliniMaria Virginia CatalisanoGiuseppe FavacchioElena Guardosubject
Hadamard productGeneral Mathematics13C40 13C70 14M10 14M99 14N20Astrophysics::Cosmology and Extragalactic AstrophysicsMathematics - Commutative AlgebraCommutative Algebra (math.AC)Complete intersection Hadamard product Star configuration GorensteinSettore MAT/02 - AlgebraMathematics - Algebraic GeometryComplete intersection Hadamard product star configuration Gorenstein.FOS: MathematicsStar configurationAstrophysics::Solar and Stellar AstrophysicsSettore MAT/03 - GeometriaAstrophysics::Earth and Planetary AstrophysicsAlgebraic Geometry (math.AG)Complete intersectionAstrophysics::Galaxy AstrophysicsGorensteindescription
AbstractGiven $$r>n$$ r > n general hyperplanes in $$\mathbb P^n,$$ P n , a star configuration of points is the set of all the n-wise intersection of the hyperplanes. We introduce contact star configurations, which are star configurations where all the hyperplanes are osculating to the same rational normal curve. In this paper, we find a relation between this construction and Hadamard products of linear varieties. Moreover, we study the union of contact star configurations on a same conic in $$\mathbb P^2$$ P 2 , we prove that the union of two contact star configurations has a special h-vector and, in some cases, this is a complete intersection.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-02-09 |