4 papers
A primer on measures of irrationality
Nathan Chen, Olivier Martin
Measures of irrationality are a numerical way of quantifying how far a given variety is from being rational (or rationally connected, uniruled, etc.). In the last two decades, ther…
Low degree subvarieties of universal hypersurfaces
Yifeng Huang, Borys Kadets, Olivier Martin
We study irreducible subvarieties of the universal hypersurface of degree and dimension . We prove that when is sufficiently large, a degree subvari…
Isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds
Yoon-Joo Kim, Radu Laza, Olivier Martin
This article initiates the study of isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds. We present four foundational results that extend well-known facts about isot…
Phenotypic robustness can increase phenotypic variability after non-genetic perturbations in gene regulatory circuits
Carlos Espinosa-Soto, Olivier C. Martin, Andreas Wagner
Non-genetic perturbations, such as environmental change or developmental noise, can induce novel phenotypes. If an induced phenotype confers a fitness advantage, selection may prom…