Uniruledness of strata of holomorphic differentials in small genus

DOI10.1016/j.aim.2018.05.042zbMath1406.32004arXiv1702.06716OpenAlexW2963849103WikidataQ129728527 ScholiaQ129728527MaRDI QIDQ1649347

Ignacio Barros

Publication date: 5 July 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.06716

zbMATH Keywords

moduli of curvesstrata of differentialsunirational stratauniruled strata

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13)

Related Items (9)

Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Towards a classification of connected components of the strata of \(k\)-differentials ⋮ Maximal gonality on strata of differentials and uniruledness of strata in low genus ⋮ The birational geometry of \(\overline{\mathcal{R}}_{g, 2}\) and Prym-canonical divisorial strata ⋮ Classical algebraic geometry. Abstracts from the workshop held June 20--26, 2021 (hybrid meeting) ⋮ The image in \(\mathcal{M}_g\) of strata of meromorphic and quadratic differentials ⋮ AFFINE GEOMETRY OF STRATA OF DIFFERENTIALS ⋮ Holomorphic quadratic differentials in Teichmüller theory ⋮ On the Kodaira dimension of the moduli space of nodal curves

Cites Work

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• On universal Severi varieties of low genus \(K3\) surfaces
• The geometry of the moduli space of odd spin curves
• Moduli of nodal curves on \(K3\) surfaces
• Curves and symmetric spaces. II.
• The moduli of singular curves on \(K3\) surfaces
• Moduli spaces of quadratic differentials
• Slopes of effective divisors on the moduli space of stable curves
• The birational type of the moduli space of even spin curves
• Tangent spaces in moduli via deformations with applications to Weierstrass points
• Families of curves with nodes on K-3 surfaces
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• Counting plane curves of any genus
• Connected components of the moduli spaces of Abelian differentials with prescribed singularities
• Dimension theory of the moduli space of twisted \(k\)-differentials
• Nodal curves on K3 surfaces
• Compactification of strata of abelian differentials
• SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES
• Geometry of Algebraic Curves
• Deformations of Algebraic Schemes
• Every Curve of Genus not Greater Than Eight Lies on a K3 Surface
• Nodal Curves with General Moduli onK3 Surfaces
• Deformation Theory
• Projective Models of K - 3 Surfaces
• The Deligne–Mumford and the Incidence Variety Compactifications of the Strata of \Omega \protect \mathcal{M}_{g}
• Divisorial Strata of Abelian Differentials
• THE MODULI SPACE OF TWISTED CANONICAL DIVISORS
• Effective divisors on \overline{ℳ}_{ℊ}, curves on 𝒦3 surfaces, and the slope conjecture
• Two Fundamental Theorems on Deformations of Polarized Varieties
• Quadratic differentials in low genus: exceptional and non-varying strata
• Theta characteristics of an algebraic curve
• Higher-dimensional algebraic geometry

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