Algebraic intersection for translation surfaces in the stratum H(2)

Later on, Morel generalized in [9] this result for surfaces of the sphere S 3 and the hyperbolic space H 3 and we give in [12] an analogue for 3-dimensional homogeneous manifolds

Surfaces of general type, Cotangent map, Fano surface of a cubic threefold, Genus 2 curves,

As we can see from Proposition 1.2, compact orientable real surfaces of genus bigger than 1 do not occur as connected components of the real part of a geometrically rational

We prove that in genus two all translation surfaces in H (2) tiled by a prime number n > 3 of squares fall into exactly two Teichm¨ uller discs, only one of them with

In this work, we study hyperbolic properties of minimal surfaces of general type with minimal c 2 1 , known as Horikawa sur- faces.. In principle these surfaces should be the

In this paper we compute the first, second, third, and fifth rational cohomology groups of ^& , the moduli space of stable ^-pointed genus g curves. It turns out that H\J^^,

For the case of rank 2 vector bundles on hyperelliptic Riemann surfaces (of genus g),where the moduli space can be explicitly described as a variety of linear subspaces of P 2g+1

As we can see from Proposition 1.2, compact orientable real surfaces of genus bigger than 1 do not occur as connected components of the real part of a geometrically rational