Abelian differentials with prescribed singularities

DOI10.5802/jep.174zbMath1480.30032arXiv2103.03165OpenAlexW3184582400MaRDI QIDQ2050438

Guillaume Tahar, Quentin Gendron

Publication date: 31 August 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03165

zbMATH Keywords

residueflat surfaceabelian differentialstrata

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Riemann surfaces; Weierstrass points; gap sequences (14H55) Differentials on Riemann surfaces (30F30)

Related Items (9)

Isoresidual fibration and resonance arrangements ⋮ 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 ⋮ Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces ⋮ Translation surfaces and periods of meromorphic differentials ⋮ Dihedral monodromy of cone spherical metrics ⋮ On Weierstrass nodes ⋮ Pell-Abel equation and applications ⋮ Infinitesimal structure of the pluricanonical double ramification locus

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• Realizability of tropical canonical divisors
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• Co-axial monodromy

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