All Outputs (2)

Fano 3-folds in P2xP2 format, Tom and Jerry (2017)
Journal Article
Brown, G., Kasprzyk, A. M., & Qureshi, I. (2018). Fano 3-folds in P2xP2 format, Tom and Jerry. European Journal of Mathematics, 4(1), 51-72. https://doi.org/10.1007/s40879-017-0200-2

We study Q-factorial terminal Fano 3-folds whose equations are modelled on those of the Segre embedding of P^2xP^2. These lie in codimension 4 in their total anticanonical embedding and have Picard rank 2. They fit into the current state of classific... Read More about Fano 3-folds in P2xP2 format, Tom and Jerry.

Minimality and mutation-equivalence of polygons (2017)
Journal Article
Kasprzyk, A. M., Nill, B., & Prince, T. (in press). Minimality and mutation-equivalence of polygons. Forum of Mathematics, Sigma, 5(e18), https://doi.org/10.1017/fms.2017.10

We introduce a concept of minimality for Fano polygons. We show that, up to mutation, there are only finitely many Fano polygons with given singularity content, and give an algorithm to determine representatives for all mutation-equivalence classes o... Read More about Minimality and mutation-equivalence of polygons.