22 citations · 79 across the 20 of their papers we have counts for
4 papers · 2 filters
On the first steps of the minimal model program for the moduli space of stable pointed curves
Giulio Codogni, Luca Tasin, Filippo Viviani
The aim of this paper is to study all the natural first steps of the minimal model program for the moduli space of stable pointed curves. We prove that they admit a modular interpr…
Positivity of the CM line bundle for families of K-stable klt Fano varieties
Giulio Codogni, Zsolt Patakfalvi
The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano varieties. It is conjectured that it yields a polarization on the moduli space o…
Tits buildings and K-stability
Giulio Codogni
A polarized variety is K-stable if, for any test configuration, the Donaldson-Futaki invariant is positive. In this paper, inspired by classical geometric invariant theory, we desc…
A note on the fibres of Mori fibre spaces
Giulio Codogni, Andrea Fanelli, Roberto Svaldi +1
In this note we consider the problem of determining which Fano manifolds can be realised as fibres of a Mori fibre space. In particular, we study the case of toric varieties, Fano…