10 citations · 22 across the 15 of their papers we have counts for
15 papers
Geometric approach for non pharmaceutical interventions in epidemiology
Laurent Evain, Jean-Jacques Loeb
Various non pharmaceutical interventions have been settled to minimise the burden of the COVID-19 outbreak. We build a framework to analyse the dynamics of non pharmaceutical inter…
Quivers and equations a la Plücker for the Hilbert scheme
Laurent Evain, Margherita Roggero
Several moduli spaces parametrizing linear subspaces of the projective space are cut out by linear and quadratic equations in their natural embedding: Grassmannians, Flag varieties…
Nested Punctual Hilbert Schemes and Commuting Varieties of Parabolic Subalgebras
Michael Bulois, Laurent Evain
It is known that the variety parametrizing pairs of commuting nilpotent matrices is irreducible and that this provides a proof of the irreducibility of the punctual Hilbert scheme…
Connect Four and Graph Decomposition
Laurent Evain, Mathias Lederer, Bjarke Hammersholt Roune
We introduce the standard decomposition, a way of decomposing a labeled graph into a sum of certain labeled subgraphs. We motivate this graph-theoretic concept by relating it to Co…
Bialynicki-Birula schemes in higher dimensional Hilbert schemes of points and monic functors
Laurent Evain, Mathias Lederer
The Bialynicki-Birula strata on the Hilbert scheme are smooth in dimension . We prove that there is a schematic structure in higher dimensions, the Bialyni…
On the equivariant cohomology of Hilbert schemes of points in the plane
Pierre-Emmanuel Chaput, Laurent Evain
Let be the affine plane regarded as a toric variety with an action of the 2-dimensional torus . We study the equivariant Chow ring of the punctual Hilbe…