Arithmetic Divisors on Orthogonal and Unitary Shimura Varieties

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References
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1. Introduction
2. Unitary Shimura varieties
3. Toroidal compactification
4. Classical modular forms
5. Unitary Borcherds products
6. Calculation of the Borcherds product divisor
7. Modularity of the generating series
8. Appendix: some technical calculations
References
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1. Introduction
2. Small CM cycles and derivatives of L-functions
3. Further results on the convolution L-function
4. Big CM cycles and derivatives of L-functions
5. Faltings heights of CM abelian varieties
References
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1. Introduction
2. Toroidal compactification
3. Automorphic vector bundles
4. Orthogonal Shimura varieties
5. Borcherds products
6. Integral models
7. Normality and flatness
8. Integral theory of q-expansions
9. Borcherds products on integral models
References