# Arithmetic intersection theory on flag varieties

@article{Tamvakis1996ArithmeticIT,
title={Arithmetic intersection theory on flag varieties},
author={Harry Tamvakis},
journal={Mathematische Annalen},
year={1996},
volume={314},
pages={641-665}
}
Let F be the complete flag variety over Spec(Z) with the tautological filtration 0 \subset E_1 \subset E_2 \subset ... \subset E_n=E of the trivial bundle E over F. The trivial hermitian metric on E(\C) induces metrics on the quotient line bundles L_i(\C). Let \hat{c}_1(L_i) be the first Chern class of L_i in the arithmetic Chow ring \hat{CH}(F) and x_i = -\hat{c}_1(L_i). Let h(X_1,...,X_n) be a polynomial with integral coefficients in the ideal generated by the elementary symmetric polynomials… Expand
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