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Discriminants and the
monoid of quadratic rings
John Voight |
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Vol. 283 (2016), No. 2, 483–510
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Abstract |
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We consider the natural monoid structure on the set of quadratic rings over an arbitrary base scheme and characterize this monoid in terms of discriminants. |
Keywords
quadratic forms, quadratic rings, monoids, discriminants,
discriminant algebras
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Mathematical Subject Classification 2010
Primary: 11E99
Secondary: 11R11, 11R29
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Milestones
Received: 8 May 2015
Revised: 12 February 2016
Accepted: 12 February 2016
Published: 22 June 2016
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Authors |
| John Voight | |
| Department of Mathematics Dartmouth College 6188 Kemeny Hall Hanover, NH 03755 United States |
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