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A variation on a theme of Faber and Fulton
Michele Bolognesi (Montpellier)
Aula Beltrami - Giovedì 2 Novembre 2017 h.16:00
Abstract. In this talk we study the geometry of GIT congurations of n ordered points on P^1 both from the the birational and the biregular viewpoint. In particular, we prove that any extremal ray of the Mori cone of effective curves of the quotient (P^1)^n//PGL(2), taken with the symmetric polarization, is generated by a one dimensional boundary stratum of the moduli space. Furthermore, we develop some technical machinery that we use to compute its group of automorphisms. (joint work with A.Massarenti)
Dipartimento di Matematica ''F. Casorati''
Università degli Studi di Pavia -
Via Ferrata, 5 - 27100 Pavia
Tel +39.0382.985600 - Fax +39.0382.985602