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

DOI10.1007/s10240-003-0015-1zbMath1037.32013arXivmath/0202134OpenAlexW1978095099WikidataQ56873222 ScholiaQ56873222MaRDI QIDQ1424080

Alex Eskin, Anton Zorich, Howard A. Masur

Publication date: 8 March 2004

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202134

zbMATH Keywords

stratificationSiegel-Veech constantsvolume estimatesstrataSiegel-Veech formulasaddle connectionsthick-thin decompositionboundary of moduli spacecompound surfacegeodesies on flat surfacesmoduli spaces of Abelian differentialsnumber of saddle connectionsslit constructionstratum interchange

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Proceedings, conferences, collections, etc. pertaining to functions of a complex variable (30-06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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