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Invariants of hypersurface singularities in positive characteristic

✍ Scribed by Yousra Boubakri; Gert-Martin Greuel; Thomas Markwig

Book ID
107687925
Publisher
Universidad Complutense de Madrid
Year
2010
Tongue
Spanish
Weight
808 KB
Volume
25
Category
Article
ISSN
1139-1138

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We show that a generic vector ΓΏeld on an a ne space of positive characteristic admits an invariant algebraic hypersurface. This contrasts with Joaunolou's Theorem that shows that in characteristic zero the situation is completely opposite. That is, a generic vector ΓΏeld in the complex plane does not

Rings of matrix invariants in positive c
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✍ M. Domokos; S.G. Kuzmin; A.N. Zubkov πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 196 KB

Denote by Rn;m the ring of invariants of m-tuples of n Γ— n matrices (m; n ΒΏ 2) over an inΓΏnite base ΓΏeld K under the simultaneous conjugation action of the general linear group. When char(K) = 0, Razmyslov (Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974) 723) and Procesi (Adv. Math. 19 (1976) 306) establis