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- W4310102584 abstract "A Teichmüller curve <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper V subset-of script upper M Subscript g> <mml:semantics> <mml:mrow> <mml:mi>V</mml:mi> <mml:mo>⊂<!-- ⊂ --></mml:mo> <mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>M</mml:mi> </mml:mrow> <mml:mi>g</mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>V subset mathcal {M}_g</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is an isometrically immersed algebraic curve in the moduli space of Riemann surfaces. These rare, extremal objects are related to billiards in polygons, Hodge theory, algebraic geometry and surface topology. This paper presents the six known families of primitive Teichmüller curves that have been discovered over the past 30 years, and a selection of open problems." @default.
- W4310102584 created "2022-11-30" @default.
- W4310102584 creator A5025217728 @default.
- W4310102584 date "2022-11-28" @default.
- W4310102584 modified "2023-10-14" @default.
- W4310102584 title "Billiards and Teichmüller curves" @default.
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- W4310102584 doi "https://doi.org/10.1090/bull/1782" @default.
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