6533b7d2fe1ef96bd125ecd3

RESEARCH PRODUCT

Classification of n-dimensional subvarieties of G(1, 2n) that can be projected to G(1, n + 1)

José Carlos SierraEnrique ArrondoLuca Ugaglia

subject

Discrete mathematicsCombinatoricsMathematics::Algebraic GeometryCorollaryN dimensionalGeneral MathematicsGrassmannianSettore MAT/03 - GeometriaStructured program theoremMathematicsGrassmannians projections

description

A structure theorem is given for n-dimensional smooth subvarieties of the Grassmannian G(1, N); with N >= n + 3, that can be isomorphically projected to G(1, n + 1). A complete classification in the cases N = 2n + 1 and N = 2n follows, as a corollary.

10.1112/s002460930500473xhttp://hdl.handle.net/10447/64683