Real -flats tangent to quadrics in |
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Authors: | Frank Sottile Thorsten Theobald |
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Affiliation: | Department of Mathematics, Texas A&M University, College Station, Texas 77843 ; Institut für Mathematik, MA 6-2, Technische Universität Berlin, Strasse des 17. Juni 1936, D-10623 Berlin, Germany |
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Abstract: | Let and denote the dimension and the degree of the Grassmannian , respectively. For each there are (a priori complex) -planes in tangent to general quadratic hypersurfaces in . We show that this class of enumerative problems is fully real, i.e., for there exists a configuration of real quadrics in (affine) real space so that all the mutually tangent -flats are real. |
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Keywords: | Tangents transversals quadrics enumerative geometry real solutions Grassmannian |
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