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math.AG2025
Weddle loci of linear systems of quadrics and the rank of partially symmetric tensors
Luca Chiantini, Filippo Fagioli
We establish a connection between properties of partially symmetric tensors (i.e. tensors associated to linear systems of quadric hypersurfaces) and the geometry of some related lo…
math.AG2022★ 1 cited
A survey on rational curves on complex surfaces
Giuseppe Barbaro, Filippo Fagioli, Ángel David Ríos Ortiz
In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the Kähler and non-Kähler setup. We systematically go through the Enriques--K…