Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

Workshop su varietà reali e complesse: geometria, topologia e analisi armonica

Oeljeklaus-Toma manifolds and deformations

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 01 Mar 2017

26 feb 2017 -- 09:30

Aula Bianchi, SNS, Pisa


``OT manifolds'' have been introduced by K. Oeljeklaus and M. Toma in 2005 to answer a conjecture by Vaisman in locally conformal geometry. They are constructed using techniques of algebraic number theory and generalize the Inoue-Bombieri surface to higher dimensions.

We present a joint work with Maurizio Parton and Victor Vuletescu (arXiv:1610.04045). We prove that any line bundle on OT manifolds ``of simple-type'' is flat. Similar arguments, exploiting both algebraic and analytic techniques, allow to prove a vanishing result for cohomology. As a consequence, we get rigidity of OT manifolds under deformations of the complex structure.

Credits | Cookie policy | HTML 5 | CSS 2.1