15 citations · 43 across the 10 of their papers we have counts for
13 papers
Hyperlogarithmic functional equations on del Pezzo surfaces
Ana-Maria Castravet, Luc Pirio
For any , we prove that the web of conics on a del Pezzo surface of degree carries a functional identity whose components are antisymmetric hyperlogarithms…
Webs by conics on del Pezzo surfaces and hyperlogarithmic functional identities
Luc Pirio
For ranging from 2 to 6, we prove that the web by conics naturally defined on any smooth del Pezzo surface of degree carries an interesting functional identity whose compon…
On the -webs by rational curves induced by the forgetful maps on the moduli spaces
Luc Pirio
We discuss the curvilinear web on the moduli space of projective configurations of points on defined by t…
On webs, polylogarithms and cluster algebras
Luc Pirio
In this text, we investigate webs which can be associated to cluster algebras from the point of view of the abelian functional equations these webs carry, focusing on the polylogar…
Moduli spaces of flat tori and elliptic hypergeometric functions
Selim Ghazouani, Luc Pirio
In the genus one case, we make explicit some constructions of Veech on flat surfaces and generalize some geometric results of Thurston about moduli spaces of flat spheres as well a…
Moduli spaces of flat tori with prescribed holonomy
Selim Ghazouani, Luc Pirio
We generalise to the genus one case several results of Thurston concerning moduli spaces of flat Euclidean structures with conical singularities on the two dimensional sphere. More…