3 papers
math.AG2014
Mori dream spaces and birational rigidity of Fano 3-folds
Hamid Abban, Francesco Zucconi
We highlight a relation between the existence of Sarkisov links and the finite generation of (certain) Cox rings. We introduce explicit methods to use this relation in order to pro…
math.AG2014
Singular del Pezzo fibrations and birational rigidity
Hamid Abban
A known conjecture of Grinenko in birational geometry asserts that a Mori fibre space with the structure of del Pezzo fibration of low degree is birationally rigid if and only if i…
cs.RO2013
An algebraic study of linkages with helical joints
Hamid Abban, Zijia Li, Josef Schicho
Methods from algebra and algebraic geometry have been used in various ways to study linkages in kinematics. These methods have failed so far for the study of linkages with helical…