Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel

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

Published:2003-09 Issue:1 Volume:97 Page:61-179
ISSN:0073-8301
Container-title:Publications mathématiques de l'IHÉS
language:en
Short-container-title:Publ. Math.

Author:

Eskin Alex,Masur Howard,Zorich Anton

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10240-003-0015-1.pdf

Reference23 articles.

1. M. Atiyah, Riemann surfaces and spin structures, Ann. Scient. ÉNS 4 e Série, 4 (1971), 47–62.

2. E. Calabi, An intrinsic characterization of harmonic 1-forms, Global Analysis, Papers in Honor of K. Kodaira, D. C. Spencer and S. Iyanaga (ed.), pp. 101–117, 1969.

3. A. Eskin, H. Masur, Asymptotic formulas on flat surfaces, Ergodic Theory and Dynamical Systems, 21 (2) (2001), 443–478.

4. A. Eskin, A. Zorich, Billiards in rectangular polygons, to appear.

5. A. Eskin, A. Okounkov, Asymptotics of number of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials, Invent. Math., 145 (1) (2001), 59–104.

Cited by 100 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Relative systoles in hyperelliptic translation surfaces;Algebraic & Geometric Topology;2024-07-16

2. Periodic orbits in the thin part of strata;Journal für die reine und angewandte Mathematik (Crelles Journal);2024-02-20

3. Intersection theory and volumes of moduli spaces of flat metrics on the sphere;Geometriae Dedicata;2024-01-27

4. Connectedness of Prym Eigenform Loci in Genus 5;Doklady Mathematics;2023-12

5. Связность локусов Прима в роде 5;Доклады Российской академии наук. Математика, информатика, процессы управления;2023-11-01