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Start Over Author "Howard, Benjamin" Search Limiters Peer Reviewed Topic algebraic geometry Topic invariants (mathematics)

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1. The Ideal of Relations for the Ring of Invariants of n Points on the Line: Integrality Results.

Author

Howard, Benjamin, Millson, John, Snowden, Andrew, and Vakil, Ravi

Subjects
*IDEALS (Algebra), *RELATION algebras, *RING theory, *INVARIANTS (Mathematics), *GEOMETRIC analysis, *TOPOLOGICAL degree, *PROOF theory
Abstract

Consider the projective coordinate ring of the Geometric Invariant Theory (GIT) quotient (ℙ1) n //SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [2] we showed that, over ℚ, the relations between degree one invariants are generated by a class of quadratic relations—the simplest binomial relations—with the exception of n = 6, where there is a single cubic relation. The purpose of this article is to show that these results hold over , and to suggest why they may be true over . [ABSTRACT FROM PUBLISHER]

Published
2012
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