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Giulio Codogni

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Related publications (5)

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Positivity of the CM line bundle for families of K-stable klt Fano varieties

Zsolt Patakfalvi, Giulio Codogni

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 of K-poly-stable klt Fano varieties. Proving ampleness of the CM line bundle ...

2021

A note on the fibres of Mori fibre spaces

Giulio Codogni, Roberto Svaldi

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 manifolds with high index and some Fano manifolds with high Picard rank. ...

SPRINGER INTERNATIONAL PUBLISHING AG2018

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 describe the space of test configurations as a limit of a direct system of Tits ...

CAMBRIDGE UNIV PRESS2019

NON-REDUCTIVE AUTOMORPHISM GROUPS, THE LOEWY FILTRATION AND K-STABILITY (vol 66, pg 1895, 2016)

Giulio Codogni

ANNALES INST FOURIER2018

Supersingular Curves You Can Trust

Tako Boris Fouotsa, Benjamin Pierre Charles Wesolowski, Giulio Codogni

Generating a supersingular elliptic curve such that nobody knows its endomorphism ring is a notoriously hard task, despite several isogeny-based protocols relying on such an object. A trusted setup is often proposed as a workaround, but several aspects rem ...

2023