5 research outputs found
On Fano schemes of complete intersections
We provide enumerative formulas for the degrees of varieties parameterizing
hypersurfaces and complete intersections which contain pro-jective subspaces
and conics. Besides, we find all cases where the Fano scheme of the general
complete intersection is irregular of dimension at least 2, and for the Fano
surfaces we deduce formulas for their holomorphic Euler characteristic.Comment: Added lacking references, corrected acknowledgments, minor editorial
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