Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities
Lanneau, Erwan
HAL, hal-00013159 / Harvested from HAL
Text on HAL
Moduli spaces of quadratic differentials with prescribed singularities are not necessarily connected. We describe here all cases when they have a special hyperelliptic connected component. We announce the general classification theorem: up to the four exceptional cases in low genera the strata of meromorphic quadratic differentials are either connected, or have exactly two connected components, and one of the two components is hyperelliptic.
Publié le : 2004-07-05
Classification:  Abelian differentials,  quadratic differentials,  moduli spaces,  hyperelliptic surfaces,  32G15, 30F30, 30F60, 58F18,  [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00013159,
     author = {Lanneau, Erwan},
     title = {Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00013159}
}

Lanneau, Erwan. Hyperelliptic Components of the Moduli Spaces of Quadratic Differentials with Prescribed Singularities. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00013159/