Add to ORKGThe 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 length, times the volume of X (so as to make it scaling-invariant). We give a hyperbolic-geometric construction to compute KVol in a family of Teichm\H{u}ller disks of square-tiled surfaces.Comment: 25 pages, 15 figure
Abelian differentials on Riemann surfaces can be seen as translation surfaces, which are flat surfac...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
In every connected component of every stratum of Abelian differentials, we construct square-tiled su...
We study the quantity $\mbox{KVol}$ defined as the supremum, over all pairs of closed curves, of the...
We study the function $$\mbox{KVol} : (X,\omega)\mapsto \mbox{Vol} (X,\omega) \sup_{\alpha,\beta} \f...
We study a volume related quantity $\mathrm{KVol}$ on the stratum ${\mathcal{H}(2)}$ of translation ...
In this paper, we give the maximal numbers of disjoint and non-homotopic closed geodesics which do n...
We review the different notions about translation surfaces which are necessary to understand McMulle...
Using elementary hyperbolic geometry, we give an explicit formula for the contraction constant of th...
Let $\Sigma$ be a surface with $\chi (\Sigma) < 0$, and a representation $\rho $ from the fundamenta...
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixe...
Accepted for publication in Israel Journal of Mathematics. A previous version circulated with the ti...
A Riemann surface of higher genus has two important geometric structures; the complex structure and ...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
The Veech group of a translation surface is the group of Jacobians of orientation-preserving affine ...
Abelian differentials on Riemann surfaces can be seen as translation surfaces, which are flat surfac...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
In every connected component of every stratum of Abelian differentials, we construct square-tiled su...
We study the quantity $\mbox{KVol}$ defined as the supremum, over all pairs of closed curves, of the...
We study the function $$\mbox{KVol} : (X,\omega)\mapsto \mbox{Vol} (X,\omega) \sup_{\alpha,\beta} \f...
We study a volume related quantity $\mathrm{KVol}$ on the stratum ${\mathcal{H}(2)}$ of translation ...
In this paper, we give the maximal numbers of disjoint and non-homotopic closed geodesics which do n...
We review the different notions about translation surfaces which are necessary to understand McMulle...
Using elementary hyperbolic geometry, we give an explicit formula for the contraction constant of th...
Let $\Sigma$ be a surface with $\chi (\Sigma) < 0$, and a representation $\rho $ from the fundamenta...
In this paper we investigate the systolic landscape of translation surfaces for fixed genus and fixe...
Accepted for publication in Israel Journal of Mathematics. A previous version circulated with the ti...
A Riemann surface of higher genus has two important geometric structures; the complex structure and ...
Let $\mathbb{P}\Omega^d\mathcal{M}_{0,n}(\kappa)$, where $\kappa=(k_1,\dots,k_n)$, be a stratum of (...
The Veech group of a translation surface is the group of Jacobians of orientation-preserving affine ...
Abelian differentials on Riemann surfaces can be seen as translation surfaces, which are flat surfac...
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture...
In every connected component of every stratum of Abelian differentials, we construct square-tiled su...