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Automorphisms and holomorphic differentials in characteristic \(p\). (English) Zbl 0468.14008

MSC:
14H05 Algebraic functions and function fields in algebraic geometry
14G20 Local ground fields in algebraic geometry
20G05 Representation theory for linear algebraic groups
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
14L30 Group actions on varieties or schemes (quotients)
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[1] Chevalley, C; Weil, A, Über das verhalten der integrale 1. gattung bei automorphismen des funktionenkörpers, Abh. math. sem. univ. Hamburg, 10, 358-361, (1934) · JFM 60.0098.01
[2] Hasse, H, Theorie der relativ-zyklischen algebraischen funktionenkörper, insbesondere bei endlichem konstantenkörper, J. reine angew. math., 172, 37-45, (1935) · JFM 60.0097.01
[3] Hurwitz, A, Über algebraische gebilde mit eindeutigen transformationen in sich, Math. ann., 41, 403-442, (1893) · JFM 24.0380.02
[4] Madan, M.L; Madden, D.J, The exponent of class groups in congruence function fields, Acta arith., 32, 183-205, (1977) · Zbl 0371.12010
[5] Madden, D.J, Arithmetic in generalized Artin-Schreier extensions of k(x), J. number theory, 10, 303-323, (1978) · Zbl 0384.12008
[6] Tamagawa, T, On unramified extensions of algebraic function fields, (), 548-551 · Zbl 0044.03101
[7] Weil, A, Über matrizenringe auf riemannschen flächen und den Riemann-rochschen satz, Abh. math. sem. univ. Hamburg, 11, 110-115, (1935) · JFM 61.0123.01
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