Abstract: The known results about the stable irrationality of very general smooth Fano complete intersections Xn⊂ℙ^n+c of dimension n≥3 and fixed type (d1,…,dc) pose the natural problem of understanding under which conditions there (might) exist rational examples of that type/dimension, e.g. index one; index two; quartic fourfolds and fivefolds; etc. After introducing the problem and after briefly recalling the state of the art, we shall present some results and geometric motivations pointing towards the statement of a possible solution.
Il seminario si svolgerà in presenza nell'aula M1. Per ulteriori informazioni, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.
This post is also available in:
Link identifier #identifier__2864-5
Eng