Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves

Rank one Drinfeld modules are the analogue of elliptic curves with complex multiplication. The study of Drinfeld modules associated with hyperelliptic curves corresponds to the study of imaginary quadratic function fields. In this thesis, we give explicit formulas for the degree of the norm and trac...

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Main Author:	Chen, Zesen
Language:	ENG
Published:	ScholarWorks@UMass Amherst 1996
Subjects:	Mathematics
Online Access:	https://scholarworks.umass.edu/dissertations/AAI9638943

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record_format	oai_dc
spelling	ndltd-UMASS-oai-scholarworks.umass.edu-dissertations-76442020-12-20T05:17:40Z Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves Chen, Zesen Rank one Drinfeld modules are the analogue of elliptic curves with complex multiplication. The study of Drinfeld modules associated with hyperelliptic curves corresponds to the study of imaginary quadratic function fields. In this thesis, we give explicit formulas for the degree of the norm and trace of the j-invariant of the Drinfeld modules associated with hyperelliptic curves, prove results about the average values of the class group and compute several examples. 1996-01-01T08:00:00Z text https://scholarworks.umass.edu/dissertations/AAI9638943 Doctoral Dissertations Available from Proquest ENG ScholarWorks@UMass Amherst Mathematics
collection	NDLTD
language	ENG
sources	NDLTD
topic	Mathematics
spellingShingle	Mathematics Chen, Zesen Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
description	Rank one Drinfeld modules are the analogue of elliptic curves with complex multiplication. The study of Drinfeld modules associated with hyperelliptic curves corresponds to the study of imaginary quadratic function fields. In this thesis, we give explicit formulas for the degree of the norm and trace of the j-invariant of the Drinfeld modules associated with hyperelliptic curves, prove results about the average values of the class group and compute several examples.
author	Chen, Zesen
author_facet	Chen, Zesen
author_sort	Chen, Zesen
title	Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
title_short	Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
title_full	Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
title_fullStr	Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
title_full_unstemmed	Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves
title_sort	degrees of the norm and trace of the j-invariant of drinfeld modules associated to hyperelliptic curves
publisher	ScholarWorks@UMass Amherst
publishDate	1996
url	https://scholarworks.umass.edu/dissertations/AAI9638943
work_keys_str_mv	AT chenzesen degreesofthenormandtraceofthejinvariantofdrinfeldmodulesassociatedtohyperellipticcurves
_version_	1719371086794063872

Degrees of the norm and trace of the j-invariant of Drinfeld modules associated to hyperelliptic curves

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