Algebraic geometry seminar

[Pietro De Poi]

Seminar announcement

Thursday, March 2nd 2017, at 2.30 p.m.

Emilia Mezzetti (Università di Trieste)

will speak on

"Togliatti systems and Galois coverings"

Abstract: In  two articles, published in 1929 and in 1946, Eugenio 
Togliatti introduced and studied an example of rational surface in the 
5-dimensional projective space satisfying a Laplace equation. In 
geometric terms this translates in the property of having all osculating 
spaces of dimension less than expected. This example has led to the 
notion of Togliatti system, which has been much studied recently, also 
because of its interesting connections with the algebraic property 
called weak Lefschetz property. In the talk, after introducing these 
notions, I will speak of a new class of examples of Togliatti systems, 
associated via apolarity to some cyclic Galois coverings.
Joint work with Rosa Maria Mirò Roig.

VENUE: Sala Seminari, Dipartimento di Scienze Matematiche, Informatiche 
e Fisiche, Università degli Studi di Udine

EVERYBODY INTERESTED IS MUCH WELCOME TO ATTEND