Fano schemes of k-linear subspaces of projective hypersurfaces and complete intersections have been object of study since a long time; in particular, non{ emptiness conditions are known. I will report how the non{emptiness of Fano schemes for projective hypersurfaces has been a tool in showing unirationality. Moreover, I will explain a numerical condition, depending on the dimension and the multidegree, for non{ emptiness of Fano schemes of k{linear subspaces of complete intersections in a projective space.
Supino, P. (2021). What if it contains a linear subspace?. In B.G. Alberich-Carramiñana M. (a cura di), Extended Abstracts GEOMVAP 2019 (pp. 109-114). Cham : Birkhäuser - Springer [10.1007/978-3-030-84800-2_18].
What if it contains a linear subspace?
Supino, Paola
2021-01-01
Abstract
Fano schemes of k-linear subspaces of projective hypersurfaces and complete intersections have been object of study since a long time; in particular, non{ emptiness conditions are known. I will report how the non{emptiness of Fano schemes for projective hypersurfaces has been a tool in showing unirationality. Moreover, I will explain a numerical condition, depending on the dimension and the multidegree, for non{ emptiness of Fano schemes of k{linear subspaces of complete intersections in a projective space.| File | Dimensione | Formato | |
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