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Can I read G2 and Hypergeometric Sheaves on EtoBox?
G2 and Hypergeometric Sheaves by Nicholas M. Katz is a Computer Science article available to read on EtoBox.
What is G2 and Hypergeometric Sheaves about?
We determine, in every finite characteristic p, those hypergeometric sheaves of type (7, m) with 7 m whose geometric monodromy group G geom lies in G 2 , cf. Theorems 3.1 and 6.1. For each of these we determine G geom exactly, cf. Theorem 9.1. Each of the five primitive irreducible finite subgroups of G 2 , namely L 2 (8), U 3 (3), U 3 (3).2 = G 2 (2), L 2 (7).2 = PGL 2 (7), L 2 (13) turns out to occur as G geom in a single characteristic p, namely p = 2, 3, 7, 7, 13 for the groups as listed, and for essentially just one hypergeometric sheaf in that characteristic. It would be interesting to find conceptual, rather than classificational/computational, proofs of these results.
Who reads G2 and Hypergeometric Sheaves?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Nicholas M. Katz
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 1071-5797)
- Published
- 2007
- Language
- EN
- Field
- Computer Science (Physical Sciences)