10 citations · 81 across the 59 of their papers we have counts for
66 papers
Relative -Contractibility of Smooth Schemes
Adrien Dubouloz, Krishna Kumar Madhavan Vijayalakshmi, Paul Arne Østvær
We study smooth morphisms that are -contractible in the unstable -homotopy category . For base schemes of finite…
Cylinders in weighted Fano varieties
Adrien Dubouloz, In-Kyun Kim, Takashi Kishimoto +1
Cylinders in Fano varieties receives a lot of attentions recently from the viewpoints of birational geometry and unipotent geometry. In this article, we provide a survey of several…
On K-stability of singular hyperelliptic Fano 3-folds
Hamid Abban, Ivan Cheltsov, Adrien Dubouloz +3
We study the K-stability of singular Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system is base-point-free but not very ample.
Algebraic families of higher dimensional -contractible affine varieties non-isomorphic to affine spaces
Adrien Dubouloz, Parnashree Ghosh
We construct algebraic families of smooth affine -contractible varieties of every dimension over fields of characteristic zero which are non-isomorphic to a…
A polyptych of multi-centered deformation spaces
Adrien Dubouloz, Arnaud Mayeux
Extending Verdier's deformation space to the normal cone of a closed subscheme and Rost's double deformation space of a pair of nested closed subschemes, we introduce a notion of d…
Completions of the affine -space into del Pezzo fibrations
Adrien Dubouloz, Takashi Kishimoto, Masaru Nagaoka
We give constructions of completions of the affine -space into total spaces of del Pezzo fibrations of every degree other than over the projective line. We show in particula…