9 citations · 16 across the 4 of their papers we have counts for
4 papers
Computational birational geometry of minimal rational surfaces
Gavin Brown, Alexander Kasprzyk, Daniel Ryder
The classification of minimal rational surfaces and the birational links between them by Iskovskikh, Manin and others is a well-known subject in the theory of algebraic surfaces. W…
Elliptic fibrations on cubic surfaces
Gavin Brown, Daniel Ryder
We classify elliptic fibrations birational to a nonsingular, minimal cubic surface over a field of characteristic zero. Our proof is adapted to provide computational techniques for…
The Curve Exclusion Theorem for elliptic and K3 fibrations birational to Fano 3-fold hypersurfaces
Daniel Ryder
The theorem referred to in the title is a technical result that is needed for the classification of elliptic and K3 fibrations birational to Fano 3-fold hypersurfaces in weighted p…
Classification of elliptic and K3 fibrations birational to some Q-Fano 3-folds
Daniel Ryder
A complete classification is presented of elliptic and K3 fibrations birational to certain mildly singular complex Fano 3-folds. Detailed proofs are given for one example case, nam…