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Adjoint representation of \(E_{8}\) and del Pezzo surfaces of degree 1

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Publication:424841
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DOI10.5802/aif.2676zbMath1257.14025arXiv1005.1272OpenAlexW2323910308WikidataQ102125149 ScholiaQ102125149MaRDI QIDQ424841

Vera V. Serganova, Alexei N. Skorobogatov

Publication date: 6 June 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1272

zbMATH Keywords

orbitDel Pezzo surfacesimple Lie grouphighest weight vectoruniversal torsor


Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Homogeneous spaces and generalizations (14M17) Semisimple Lie groups and their representations (22E46)


Related Items

Degeneration of torsors over families of del Pezzo surfaces, ADE bundles over surfaces



Cites Work

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  • Sagbi bases of Cox-Nagata rings
  • Del Pezzo surfaces and representation theory
  • Cox rings of degree one del Pezzo surfaces
  • On the equations for universal torsors over del Pezzo surfaces
  • Geometric Invariant Theory
  • On simply laced Lie algebras and their minuscule representations
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