Rational elliptic surfaces and the trigonometry of tetrahedra

DOI10.1007/s00222-021-01066-wzbMath1481.14062arXiv1908.01141OpenAlexW3194951920MaRDI QIDQ2073764

Daniil Rudenko

Publication date: 8 February 2022

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01141

zbMATH Keywords

tetrahedratrigonometryrational elliptic surface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Elementary problems in hyperbolic and elliptic geometries (51M09)

Cites Work

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• Enhanced Dynkin diagrams and Weyl orbits
• Configurations of Kodaira fibers on rational elliptic surfaces
• On the volume of a hyberbolic and spherical tetrahedron
• On extremal rational elliptic surfaces
• Cross ratios as moduli of del Pezzo surfaces of degree one
• Linear systems on rational elliptic surfaces and elliptic fibrations on \(K3\) surfaces
• On the volume formula for hyperbolic tetrahedra
• Rational surfaces with an anti-canonical cycle
• Elliptic Surfaces
• Volumes of hyperbolic manifolds and mixed Tate motives
• Cross Ratio Variety as a Moduli Space of Cubic Surfaces
• The Regge symmetry, confocal conics, and the Schläfli formula

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