Tohoku Mathematical Journal
2012

March
SECOND SERIES VOL. 64, NO. 1

Tohoku Math. J.
64 (2012), 61-77

Title NORM BASED EXTENSION OF REFLEXIVE MODULES OVER WEYL ALGEBRAS

Author Yoshifumi Tsuchimoto

(Received September 3, 2010, revised July 22, 2011)
Abstract. We consider a reflexive module of rank one over a degenerate Weyl algebra over a field of positive characteristic. We define an invariant which we call wrinkle of the module and see that it is good enough to distinguish trivial module.

2000 Mathematics Subject Classification. Primary 14R15; Secondary 14A22.

Key words and phrases. Jacobian problem, Dixmier conjecture, Noncommutative algebraic geometry.

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