AFFINE GEOMETRY OF STRATA OF DIFFERENTIALS

DOI10.1017/S1474748017000445zbMath1423.14184arXiv1706.01142MaRDI QIDQ5239860

Dawei Chen

Publication date: 23 October 2019

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01142

zbMATH Keywords

moduli space of curvesaffine varietiesstrata of differentialscomplete curvesaffine invariant manifolds

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Families, moduli of curves (analytic) (14H15)

Related Items (6)

Realizability of tropical canonical divisors ⋮ Complete curves in the strata of differentials ⋮ Nonvarying, affine and extremal geometry of strata of differentials ⋮ Tautological ring of strata of differentials ⋮ The strata do not contain complete varieties ⋮ Equations of linear subvarieties of strata of differentials

Cites Work

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• Splitting mixed Hodge structures over affine invariant manifolds
• Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow
• Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• Families of smooth curves
• A perfect stratification of \(\mathcal M_g\) for \(g \leq 5\)
• A bound on the dimensions of complete subvarieties of \({\mathcal M}_ g\).
• The red book of varieties and schemes
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Uniruledness of strata of holomorphic differentials in small genus
• Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
• On the tautological ring of \(\mathcal{M}_ g\)
• Nonvarying sums of Lyapunov exponents of abelian differentials in low genus
• Compactification of strata of abelian differentials
• The fine structure of the moduli space of abelian differentials in genus 3
• Translation surfaces and their orbit closures: an introduction for a broad audience
• Cubic curves and totally geodesic subvarieties of moduli space
• Extremal effective divisors on \(\overline{\mathcal M}_{1,n}\)
• Ample subvarieties of algebraic varieties. Notes written in collaboration with C. Musili
• Two remarks on the Weierstrass flag
• The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
• Strata of $k$-differentials
• Quadratic differentials in low genus: exceptional and non-varying strata

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