Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 1997; 12(1): 1-9

Printed March 1, 1997

Copyright © The Korean Mathematical Society.

Elliptic modules of rank one and class fields of function fields

Sunghan Bae, Hwan Yup Jung

KAIST, KAIST

Abstract

We obtained some class fields associated to an order $R$ of a function field and evaluated the valuation of the invariant $\xi(\goth c)$ for an invertible ideal $\goth c$ of $R$.

Keywords: Bergman space, Toeplitz operators, Essential norm

MSC numbers: Primary 11R37, Secondary 11G09