The WYSIWYG compactification
DOI10.1112/jlms.12382zbMath1468.14057arXiv1908.07436OpenAlexW3105145485MaRDI QIDQ4999771
Publication date: 2 July 2021
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.07436
translation surfacesabelian differentialsstrataaffine invariant submanifoldsWYSIWYG compactification
Families, moduli of curves (algebraic) (14H10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Period matrices, variation of Hodge structure; degenerations (32G20) Families, moduli of curves (analytic) (14H15) Differentials on Riemann surfaces (30F30)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Splitting mixed Hodge structures over affine invariant manifolds
- Semisimplicity and rigidity of the Kontsevich-Zorich cocycle
- Topologies and structures of the Cremona groups
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Zero Lyapunov exponents and monodromy of the Kontsevich-Zorich cocycle
- Spin and hyperelliptic structures of log twisted differentials
- Deviation of ergodic averages for rational polygonal billiards
- Linear manifolds in the moduli space of one-forms
- Semianalytic and subanalytic sets
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Intersection theory on the moduli space of curves and the matrix Airy function
- Basepoint freeness for nef and big line bundles in positive characteristic
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
- The algebraic hull of the Kontsevich-Zorich cocycle
- Invariant and stationary measures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Degenerations of abelian differentials
- Full-rank affine invariant submanifolds
- Counting closed geodesics in strata
- Moduli spaces of weighted pointed stable curves.
- Compactification of strata of abelian differentials
- Cylinder deformations in orbit closures of translation surfaces
- Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
- Connected components of the strata of the moduli space of meromorphic differentials
- Navigating moduli space with complex twists
- The boundary of an affine invariant submanifold
- \(\mathrm{GL}_2\mathbb{R}\) orbit closures in hyperelliptic components of strata
- Principal boundary of moduli spaces of abelian and quadratic differentials
- The field of definition of affine invariant submanifolds of the moduli space of abelian differentials
- Théorie de Hodge. II. (Hodge theory. II)
- The Deligne–Mumford and the Incidence Variety Compactifications of the Strata of \Omega \protect \mathcal{M}_{g}
- Finiteness of Teichmüller Curves in Non-Arithmetic Rank 1 Orbit Closures
- Nondivergence of horocyclic flows on moduli space
- Strata of $k$-differentials
This page was built for publication: The WYSIWYG compactification
