Abstract

We use classical Schubert calculus to evaluate the integral formula of Kaiser and Kohler (KK) for the Faltings height of certain homogeneous varieties in terms of combinatorial data, and verify their conjecture for the size of the denominators. The examples considered are the Grassmannian and complete ag variety forSLN and the Grassmannians parametrizing maximal isotropic subspaces in the symplectic and even orthogonal cases.

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