Modular curves and Poncelet polygons

DOI10.1007/BF01444875zbMath0789.14033MaRDI QIDQ1318046

V. Pereyra

Publication date: 20 June 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165030

zbMATH Keywords

modular curvePoncelet-polygon

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Algebraic moduli problems, moduli of vector bundles (14D20) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Modular and Shimura varieties (14G35) Projective analytic geometry (51N15)

Related Items

Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances ⋮ The sixth Painlevé transcendent and uniformization of algebraic curves ⋮ Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture ⋮ Poncelet's porism: a long story of renewed discoveries. I ⋮ Generalized closing theorems ⋮ Covers of tori: genus two ⋮ Factorization of Poncelet polynomials ⋮ Poncelet’s porism and projective fibrations ⋮ Geometry of integrable billiards and pencils of quadrics ⋮ The Lamé family of connections on the projective line ⋮ Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study ⋮ Poncelet-type problems, an elementary approach ⋮ Poncelet's porism: a long story of renewed discoveries. II

Cites Work

• On compact complex analytic surfaces. I
• On Cayley's explicit solution to Poncelet's porism
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