Abstract:
One of the main open problems of Birational Geometry is to determine the rationality of the cubic hypersurfaces in \mathbb{P}^5, the so-called cubic fourfolds: to date there are few explicit results and several conjectures, but no universal criteria. After an overview of the state of the art of the problem on the complex field \mathbb{C}, we briefly present a new geometric construction of a divisor in the moduli space of cubic fourfolds which could represent a significant contribution in this general discussion.
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica,
via della Vasca Navale, 84- aula B
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