Open Access
VOL. 50 | 2008 On the Castelnuovo-Weil lattices, I
Viet Nguyen-Khac, Tetsuji Shioda

Editor(s) Kazuhiro Konno, Viet Nguyen-Khac

Adv. Stud. Pure Math., 2008: 333-344 (2008) DOI: 10.2969/aspm/05010333

Abstract

The Castelnuovo-Weil lattice of a curve refers to the ring of correspondence of the curve or the endomorphism ring of its Jacobian variety, viewed as a lattice with respect to the natural trace form. The main subject is the minimal norm $\mu (C)$ of this lattice, and we discuss the question as to whether $\mu (C) = 2g$ holds true.

Information

Published: 1 January 2008
First available in Project Euclid: 16 December 2018

zbMATH: 1151.11327
MathSciNet: MR2409564

Digital Object Identifier: 10.2969/aspm/05010333

Subjects:
Primary: 11G10 , 11G30 , 14H31

Rights: Copyright © 2008 Mathematical Society of Japan

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