Period realization of meromorphic differentials with prescribed invariants

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30)

Cites Work

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Connected components of strata of abelian differentials over Teichmüller space
Schiffer variation of complex structure and coordinates for Teichmüller spaces
Branched \(\mathbb{C} P^ 1\)-structures on surfaces with prescribed real holonomy
Connected components of the moduli spaces of Abelian differentials with prescribed singularities
Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
Ein Satz über die Abelschen Integrale 1. Gattung.
Higher spin mapping class groups and strata of abelian differentials over Teichmüller space
Abelian differentials with prescribed singularities
Towards a classification of connected components of the strata of \(k\)-differentials
Chamber structure of modular curves \(X_1(N)\)
Connected components of the strata of the moduli space of meromorphic differentials
Extremal effective divisors on \(\overline{\mathcal M}_{1,n}\)
Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. I.
A transfer principle: from periods to isoperiodic foliations
Haupt's theorem for strata of abelian differentials
Periods of abelian differentials and dynamics
Spin Structures and Quadratic forms on Surfaces
Periods of Abelian Differentials With Prescribed Singularities
Riemann surfaces and spin structures
Theta characteristics of an algebraic curve
Translation surfaces and periods of meromorphic differentials
On the automorphism groups of certain branched structures on surfaces
Translation surfaces: dynamics and Hodge theory

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