M T W T F S S
 
 
 
 
 
1
 
2
 
3
 
4
 
5
 
6
 
7
 
8
 
9
 
10
 
11
 
12
 
13
 
14
 
15
 
16
 
17
 
18
 
19
 
20
 
21
 
22
 
23
 
24
 
25
 
26
 
27
 
28
 
 
 
Add to My Calendar

Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

A special class of Fano varieties with Lefschetz defect 2

Printer-friendly versionSend by emailPDF version

Data: 

19/12/2024 - 11:30

Aula: 

Aula Lagrange

Speaker: 

Pier Roberto Pastorino

Categoria: 

Seminari di Algebra e Geometria Algebrica

Afferenza: 

Università di Torino

Descrizione: 

Abstract: 
We study the class of smooth complex Fano varieties with Lefschetz defect 2 that arise from the blowing-up of a P^1-bundle over another Fano variety of lower dimension. More precisely, the blowing-up is performed along a codimension 2 smooth subvariety lying on a section of the P^1-bundle. 
Although this construction may seem artificial, we observe that most of the known families of Fano 3-folds with Lefschetz defect 2 can be described by it. This might provide a more general and direct description than the well known case-by-case list by Mori and Mukai and might be helpful for the study of families of higher dimensional Fano varieties.