Skip to main content
Logo UniTrento
  • Italiano
MyUnitn
Cerca
 cerca nel Magazine
CALENDAR
Department of Mathematics

Birational geometry of complete collineations

3 October 2019
3 October 2019
share
Facebook LinkedIn Twitter 
Versione stampabile
Contatti: 
Staff Dipartimento di Matematica

Università degli Studi Trento
38123 Povo (TN)
Tel +39 04 61/281508-1625-1701-3786
dept.math [at] unitn.it

 

Venue: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Sala Seminari "-1"
At: 11:00 a.m.

Speaker:

  • Alex Massarenti (Università degli Studi di Ferrara)

Abstract:

The moduli space of complete collineations is roughly speaking a compactification of the space of linear maps between two fixed vector spaces, in which the boundary divisor is simple normal crossing. The space of complete collineations is a spherical wonderful variety. Exploiting its spherical nature we will investigate its birational geometry. More precisely we will compute the effective and nef cones, the Mori and moving cones of curves and the generators of the Cox ring. Finally, we will determine the Mori chamber decomposition of the space of complete collineations of the 3-dimensional projective space, and as a consequence we will recover a description of the Mori chamber decomposition of the space of complete quadric surfaces due to C. L. Huerta.

Contact person: Claudio Fontanari

Download 
application/pdfLocandina seminario "Birational geometry of complete collineations" - 3 ottobre 2019 ore 11.00(PDF | 506 KB)
EVENTSsee all