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Monads and instanton bundles on smooth hyperquadrics

✍ Scribed by Laura Costa; Rosa Maria Miró–Roig


Book ID
102492106
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
151 KB
Volume
282
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

In this paper we study instanton bundles on quadric hypersurfaces from the algebraic and geometric point of view. We discuss examples and we give a cohomological characterization (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


📜 SIMILAR VOLUMES


Instantons and bundles on CP3
✍ V. G. Drinfel'd; Yu. I. Manin 📂 Article 📅 1979 🏛 Springer US 🌐 English ⚖ 1008 KB
Group Action on Instanton Bundles over ℙ
✍ Laura Costa; Giorgio Ottaviani 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB

Denote by M I(k) the moduli space of k-instanton bundles E of rank 2 on P 3 = P(V ) and by Z k (E) the scheme of k-jumping lines. We prove that We prove also that E is special if and only if Z k (E) is a smooth conic. The action of SL(V ) on the moduli of special instanton bundles is studied in det