3 citations · 3 across the 2 of their papers we have counts for
6 papers
Abelian differentials with prescribed singularities
Quentin Gendron, Guillaume Tahar
The local invariants of a meromorphic Abelian differential on a Riemann surface of genus are the orders of zeros and poles, and the residues at the poles. The main result of th…
On existence of quasi-Strebel structures for meromorphic k-differentials
Boris Shapiro, Guillaume Tahar
In this paper, motivated by the classical notion of a Strebel quadratic differential on a compact Riemann surfaces without boundary we introduce the notion of a quasi-Strebel struc…
Triangulations of branched affine surfaces
Guillaume Tahar
A branched affine structure on a compact topological surface with marked points is a complex affine structure outside the marked points. We give a proof of an unpublished foundatio…
A topological bound on the Cantor-Bendixson rank of meromorphic differentials
Guillaume Tahar
In translation surfaces of finite area (corresponding to holomorphic differentials), directions of saddle connections are dense in the unit circle. On the contrary, saddle connecti…
Horizon saddle connections, quasi-Hopf surfaces and Veech groups of dilation surfaces
Guillaume Tahar
Dilation surfaces are generalizations of translation surfaces where the geometric structure is modelled on the complex plane up to affine maps whose linear part is real. They are t…
Ordered algebraic structures and classification of semifields
Guillaume Tahar
Semifields are semirings in which every nonzero element has a multiplicative inverse. A rough classification uses the characteristic of the semifield, that is the isomorphism type…