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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.DG2025
Some criteria for positive forms and applications
Filippo Fagioli, Asia Mainenti
The aim of this paper is to gain a better understanding of weak and strong positivity for exterior forms on complex vector spaces. We prove a dimensionality reduction argument for…