The Deligne–Mumford and the Incidence Variety Compactifications of the Strata of \Omega \protect \mathcal{M}_{g}

DOI10.5802/aif.3187zbMath1403.14059arXiv1503.03338OpenAlexW3103622200MaRDI QIDQ4557659

Quentin Gendron

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.03338

zbMATH Keywords

Riemann surfacescompactificationKodaira dimensionmoduli spacesabelian differentialsstrata

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30) Birational geometry (14E99)

Related Items (20)

Towards a classification of connected components of the strata of \(k\)-differentials ⋮ On the locus of genus 3 curves that admit meromorphic differentials with a zero of order 6 and a pole of order 2 ⋮ Uniruledness of strata of holomorphic differentials in small genus ⋮ Dimension theory of the moduli space of twisted \(k\)-differentials ⋮ \(\mathrm{GL}_2\mathbb{R}\)-invariant measures in marked strata: generic marked points, Earle-Kra for strata and illumination ⋮ Principal boundary of moduli spaces of abelian and quadratic differentials ⋮ Maximal gonality on strata of differentials and uniruledness of strata in low genus ⋮ Intersection theory and volumes of moduli spaces of flat metrics on the sphere ⋮ Enumerative geometry of surfaces. Abstracts from the workshop held June 13--19, 2021 (hybrid meeting) ⋮ The closure of double ramification loci via strata of exact differentials ⋮ Spin and hyperelliptic structures of log twisted differentials ⋮ THE MODULI SPACE OF TWISTED CANONICAL DIVISORS ⋮ Compactification of strata of abelian differentials ⋮ Cohomology classes of strata of differentials ⋮ The image in \(\mathcal{M}_g\) of strata of meromorphic and quadratic differentials ⋮ Real-normalized differentials: limits on stable curves ⋮ Teichm\"uller dynamics in the eyes of an algebraic geometer ⋮ The WYSIWYG compactification ⋮ Holomorphic quadratic differentials in Teichmüller theory ⋮ Coarse density of subsets of moduli space

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