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On Class Number Relations over Function Fields

✍ Scribed by Julie T.-Y Wang; Jing Yu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 263 KB
Volume: 69
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1997.2213

No coin nor oath required. For personal study only.

✦ Synopsis

The analogues of the classical Kronecker and Hurwitz class number relations for function fields of any positive characteristic are obtained by a method parallel to the classical proof. In the case of even characteristic, purely inseparable orders also have to be taken into account. A subtle point is the inseparability of the j-invariants for these orders.

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