Real and complex't Hooft instanton bundles over ℙ2n+1(ℂ)

DOI10.1007/BF02925360zbMath0955.14011OpenAlexW1987856273MaRDI QIDQ3840715

Giorgio Ottaviani

Publication date: 8 October 1998

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925360

zbMATH Keywords

Macaulay't Hooft bundles

Mathematics Subject Classification ID

Symplectic geometry, contact geometry (53D99) Projective techniques in algebraic geometry (14N05) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Uses Software

• Macaulay2

Cites Work

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• Some comments on the ADHM construction in 4k dimensions
• Vector bundles over quaternionic Kähler manifolds
• Construction of instantons
• Vector bundles on complex projective spaces
• The tangent space at a special symplectic instanton bundle on \(\mathbb{P}_{2n+1}\)
• Special instanton bundles on \(\mathbb{P}_{2N+1}\), their geometry and their moduli
• Mathematical instanton bundles on P2n+1
• THE STRUCTURE OF THE VARIETY OF PAIRS OF COMMUTING PENCILS OF SYMMETRIC MATRICES
• Yang-Mills fields on quaternionic spaces
• Some Applications of Beilinson's Theorem to Projective Spaces and Quadrics