14 citations · 14 across the 7 of their papers we have counts for
7 papers
Singularities of totally invariant hypersurfaces of endomorphisms
Amaël Broustet, Andreas Höring
Let be a polarised endomorphism of a complex projective manifold, and let be a reduced totally invariant hypersurface. We prove that every irreducible…
Frequent subgraph-based persistent homology for graph classification
Xinyang Chen, Amaël Broustet, Guanyuan Zeng +2
Persistent homology (PH) has recently emerged as a powerful tool for extracting topological features. Integrating PH into machine learning and deep learning models enhances topolog…
Remarks on log Calabi--Yau structure of varieties admitting polarized endomorphism
Amaël Broustet, Yoshinori Gongyo
We discuss the Calabi--Yau type structure of normal projective surfaces and Mori dream spaces admitting a non-trivial polarized endomorphism.
Singularities of varieties admitting an endomorphism
Amaël Broustet, Andreas Höring
Let X be a normal variety such that is Q-Cartier, and let be a finite surjective morphism of degree at least two. We establish a close relation between t…
Uniruledness of stable base loci of adjoint linear systems with and without Mori Theory
S. Boucksom, A. Broustet, G. Pacienza
We explain how to deduce from recent results in the Minimal Model Program a general uniruledness theorem for base loci of adjoint divisors. We also show how to recover special case…
Rational connectedness modulo the Non-nef locus
Amaël Broustet, Gianluca Pacienza
It is well known that a smooth projective Fano variety is rationally connected. Recently Zhang (and later Hacon and McKernan as a special case of their work on the Shokurov RC-conj…