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Humans have been using plant-derived drugs for as long as we have recorded history. Significant negative consequences related to drug abuse have occurred in the areas of health, social issues, family relations, legal systems, and economic productivit

Externí odkaz: http://digitalcommons.wku.edu/theses/785
http://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=1788&context=theses

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The ideal of relations for the ring of invariants of n points on the line

Autor: Howard, Ben, Millson, John, Snowden, Andrew, Vakil, Ravi

The study of the projective coordinate ring of the (geometric invariant theory) moduli space of n ordered points on P^1 up to automorphisms began with Kempe in 1894, who proved that the ring is generated in degree one in the main (n even, unit weight

Externí odkaz: http://arxiv.org/abs/0909.3230

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The ideal of relations for the ring of invariants of n points on the line: integrality results

Autor: Howard, Ben, Millson, John, Snowden, Andrew, Vakil, Ravi

Consider the projective coordinate ring of the GIT quotient (P^1)^n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2] we showed that, over the rationals, the relations b

Externí odkaz: http://arxiv.org/abs/0909.3242

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The relations among invariants of points on the projective line

Autor: Howard, Ben, Millson, John, Snowden, Andrew, Vakil, Ravi

We consider the ring of invariants of n points on the projective line. The space (P^1)^n // PGL_2 is perhaps the first nontrivial example of a Geometry Invariant Theory quotient. The construction depends on the weighting of the n points. Kempe discov

Externí odkaz: http://arxiv.org/abs/0906.2437

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