In this paper we are interested in algebraic intersection of closed curves of a given length on
translation surfaces. We study the quantity KVol, defined in Cheboui et al.(Bull Soc Math …

We study a volume related quantity KVol on the stratum H (2) of translation surfaces of
genus 2, with one conical point. We provide an explicit sequence L (n, n) of surfaces such …

In this paper, we continue the study of intersections of closed curves on translation surfaces,
initiated in by S. Cheboui, A. Kessi and D. Massart for a family of arithmetic Veech surfaces …

The setting is a square-tiled surface X. We study the quantity KVol, defined as the supremum
over all pairs of closed curves, of their algebraic intersection divided by the product of their …

We study the function $$\mbox {KVol}:(X,\omega)\mapsto\mbox {Vol}(X,\omega)\sup_
{\alpha,\beta}\frac {\mbox {Int}(\alpha,\beta)}{l_g (\alpha) l_g (\beta)} $$ defined on the …

We show that the algebraic intersection form of hyperbolic surfaces of genus $ g $ has a
minimum in the moduli space and that the minimum grows in the order $(\log g)^{-2} $ in …

This paper focuses on intersection of closed curves on translation surfaces. Namely, we
investigate the question of determining the intersection of two closed curves of a given …

Our objects of study are translation surfaces and their geodesics. These structures arise in
the study of rational polygonal billiards and more generally in Teichmüller dynamics. This …

ON étudie la quantité notée Kvol définie par $$ KVol (X, g)= Vol (X, g)* sup_ {alpha, beta}
frac {Int (alpha, beta)}{l_g (alpha) l_g (beta)} $$ où X est une surface compacte de genre s …

Résumé Cette thèse porte sur plusieurs problèmes relatifs aux surfaces de translation. Nous
commençons par étudier l'intersection algébrique des courbes fermées sur ces surfaces, et …