On complete intersections containing a linear subspace

Consider the Fano scheme F k ( Y ) parameterizing k -dimensional linear subspaces contained in a complete intersection Y ⊂ P m of multi-degree d ̲ = ( d 1 , … , d s ) . It is known that, if t : = ∑ i = 1 s d i + k k - ( k + 1 ) ( m - k ) ⩽ 0 and ∏ i = 1 s d i > 2 , for Y a general complete inters...

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Veröffentlicht in:	Geometriae dedicata 2020-02, Vol.204 (1), p.231-239
Hauptverfasser:	Bastianelli, Francesco, Ciliberto, Ciro, Flamini, Flaminio, Supino, Paola
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Convex and Discrete Geometry Differential Geometry Hyperbolic Geometry Intersections Mathematics Mathematics and Statistics Original Paper Projective Geometry Subspaces Topology
Online-Zugang:	Volltext
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