THE ARITHMETIC OF SKLYANIN ALGEBRAS .1. THE DEFINING EQUATIONS

Authors
LEBRUYN L
Citation
L. Lebruyn, THE ARITHMETIC OF SKLYANIN ALGEBRAS .1. THE DEFINING EQUATIONS, Communications in algebra, 22(1), 1994, pp. 51-81
Citations number
22
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
22
Issue
1
Year of publication
1994
Pages
51 - 81
Database
ISI
SICI code
0092-7872(1994)22:1<51:TAOSA.>2.0.ZU;2-5
Abstract
To every non-cuspidal K-rational point on the modular curve X(1)(n) a non-commutative Noetherian domain of global dimension 3 call be associ ated: the Sklyanin algebra. In this paper we give the defining equatio ns of the Sklyanin algebras and their centers when X(1)(n) is rational , i.e. n less than or equal to 10 or n = 12.