On algebra generated by Chern-Bott forms on SL_n/B

Details On algebra generated by Chern-Bott forms on SL_n/B On algebra generated by Chern-Bott forms on SL_n/B

1997-08-20

arxiv.org/abs/alg-geom/9708017v1

Mathematics

Algebraic Geometry

AMSTeX, 7 pages, no pictures

Scientific paper

In this short note we give an explicit presentation of the algebra A_n generated by the curvature 2-forms of the standard Hermitiam line bundles over SL_n/B as the quotient of the polynomial ring. The difference between A_n and H^*(SL_n/B) reflects the fact that SL_n/B is not a symmetric space. Possible applications of A_n lie in the field of arithmetic intersection theory on flag varieties.

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