Birational Geometry of Fano varieties and Fano-Mori fibre spaces

Funder	Engineering and Physical Sciences Research Council
Recipient Organization	University of Liverpool
Country	United Kingdom
Start Date	Sep 30, 2024
End Date	Mar 30, 2028
Duration	1,277 days
Number of Grantees	2
Roles	Student; Supervisor
Data Source	UKRI Gateway to Research
Grant ID	`2929233`

Grant Description

The aim of the project is to study the birational geometry of higher-dimensional Fano varieties and Fano-Mori fibre spaces over a positive-dimensional base and obtain birational rigidity-type results for a new class of higher-dimensional rationally connected varieties, including computation of their groups of birational self-maps and proving their non-rationality.

This is a very important topic in the modern higher-dimensional birational geometry, with strong links to the Minimal Model Program and the theory of K-stability of projective algebraic varieties"