Loci in strata of meromorphic differentials with fully degenerate Lyapunov spectrum

Julien Grivaux (1, 2) , Pascal Hubert (3, 4)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques
3 FRUMAM - Fédération de Recherche des Unités de MAthématiques de Marseille
4 I2M - Institut de Mathématiques de Marseille

We construct explicit closed GL(2, R)-invariant loci in strata of meromorphic differentials of arbitrary large dimension with fully degenerate Lyapunov spectrum. This answers a question of Forni-Matheus-Zorich.

Mots clés: meromorphic quadratic differentials; degenerate Lyapunov spectrum

Domaines: Systèmes dynamiques [math.DS]; Géométrie algébrique [math.AG]

Julien Grivaux, Pascal Hubert. Loci in strata of meromorphic differentials with fully degenerate Lyapunov spectrum. Journal of modern dynamics, 2014, 8 (1), pp.61-73. ⟨10.3934/jmd.2014.8.61⟩. ⟨hal-01299437⟩