Title	Plane quartics over Q with complex multiplication
Creator	Ritzenthaler, Christophe
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-01T16:32
Description	We give examples of smooth plane quartics over $\mathbb{Q}$ with complex multiplication over $\bar{\mathbb{Q}}$ by a maximal order with primitive CM type. We describe the required algorithms as we go, these involve the reduction of period matrices, the fast computation of Dixmier-Ohno invariants, and reconstruction from these invariants. Finally, we discuss some of the reduction properties of the curves that we obtain.
Extent	52 minutes
Subject	Mathematics; Number theory; Algebraic geometry; Arithmetic number theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Rennes
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0360762
URI	http://hdl.handle.net/2429/63751
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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