Poncelet’s porism and projective fibrations

DOI10.1090/conm/703/14136zbMath1401.14157OpenAlexW2795882474MaRDI QIDQ4685920

Emma Previato

Publication date: 9 October 2018

Published in: Higher Genus Curves in Mathematical Physics and Arithmetic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/703/14136

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Elliptic curves (14H52) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (2)

Unnamed Item ⋮ The Fuss formulas in the Poncelet porism

Cites Work

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• Configurations of Kodaira fibers on rational elliptic surfaces
• Poncelet's closure theorem
• Geodesics on the ellipsoid
• Galois groups of enumerative problems
• Variations on a theorem of Abel
• Modular curves and Poncelet polygons
• On complex surfaces with 5 or 6 semistable singular fibers over 1
• Poncelet theorems
• Stability of pencils of quadrics in \(\mathbb{P}^4\)
• Stable bundles of rank 2 and odd degree over a curve of genus 2
• Theta-Characteristics on Algebraic Curves
• Elliptical billiard systems and the full Poncelet’s theorem in n dimensions
• Poncelet’s theorem in space
• Cayley-type conditions for billiards withinkquadrics in
• On periodical trajectories of the billiard systems within an ellipsoid in Rd and generalized Cayley’s condition
• Twelve points on the projective line, branched covers, and rational elliptic fibrations

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