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Group Action on Instanton Bundles over ℙ3

✍ Scribed by Laura Costa; Giorgio Ottaviani

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 249 KB
Volume: 246-247
Category: Article
ISSN: 0025-584X
DOI: 10.1002/1522-2616(200212)246:1<31::aid-mana31>3.0.co;2-8

No coin nor oath required. For personal study only.

✦ Synopsis

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 detail.

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