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High rank invariant subvarieties (Q6093287)

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scientific article; zbMATH DE number 7734889

Language	Label	Description	Also known as
English	High rank invariant subvarieties	scientific article; zbMATH DE number 7734889

Statements

scholarly article

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High rank invariant subvarieties (English)

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Annals of Mathematics. Second Series

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publication date

6 September 2023

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full work available at URL

https://arxiv.org/abs/2102.06567

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zbMATH Keywords

translation surface

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moduli space

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abelian differential

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invariant subvariety

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orbit closure

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rank

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MaRDI profile type

MaRDI publication profile

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Symplectic and isometric \(\mathrm{SL}(2,\mathbb{R})\)-invariant subbundles of the Hodge bundle

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Rank two affine submanifolds in \(\mathcal H(2,2)\) and \(\mathcal H(3,1)\)

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Rank 2 affine manifolds in genus \(3\)

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Classification of higher rank orbit closures in \(\mathcal{H}^{\mathrm{odd}}(4)\)

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\(\mathrm{GL}_2\mathbb{R}\) orbit closures in hyperelliptic components of strata

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Rank one orbit closures in \(\mathcal{H}^{\mathrm{hyp}}({g}-1,{g}-1)\)

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\(\mathrm{GL}_2\mathbb{R}\)-invariant measures in marked strata: generic marked points, Earle-Kra for strata and illumination

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Marked points on translation surfaces

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Generalizations of the Eierlegende-Wollmilchsau

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Equations of linear subvarieties of strata of differentials

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Teichmüller curves in genus three and just likely intersections in \(\mathbf{G}_{m}^{n}\times\mathbf{G}_{a}^{n}\)

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Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1)

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Veech surfaces and complete periodicity in genus two

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The WYSIWYG compactification

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The algebraic hull of the Kontsevich-Zorich cocycle

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Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space

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Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space

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Billiards, quadrilaterals and moduli spaces

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Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants

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Splitting mixed Hodge structures over affine invariant manifolds

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Connected components of the moduli spaces of Abelian differentials with prescribed singularities

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Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures

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Billiards and Teichmüller curves on Hilbert modular surfaces

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Dynamics of \(\text{SL}_2(\mathbb R)\) over moduli space in genus two

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Navigating moduli space with complex twists

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Moduli spaces of isoperiodic forms on Riemann surfaces

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Cubic curves and totally geodesic subvarieties of moduli space

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Linear manifolds in the moduli space of one-forms

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Cohomology classes represented by measured foliations, and Mahler's question for interval exchanges

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The boundary of an affine invariant submanifold

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Full-rank affine invariant submanifolds

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Multiple saddle connections on flat surfaces and the principal boundry of the moduli spaces of quadratic differentials

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Non-Veech surfaces in \(\mathcal H^{\mathrm{hyp}}(4)\) are generic

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Minimal sets for flows on moduli space

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Schiffer variations and abelian differentials

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The field of definition of affine invariant submanifolds of the moduli space of abelian differentials

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Cylinder deformations in orbit closures of translation surfaces

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Translation surfaces and their orbit closures: an introduction for a broad audience

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Nonarithmetic affine invariant orbifolds in \({\mathcal{H}}^{{odd}}(2,2)\) and \({\mathcal{H}}(3,1)\)

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Identifiers

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10.4007/annals.2023.198.2.4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6093287

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