Higher Bruhat-Tits buildings and vector bundles on an algebraic surface

Chapters in this book

1. I-X I
2. Strict factorisability and shadows 1
3. Frobenius order-sequences of curves 27
4. Discriminants of Hermitian R[G]-modules and Brauer’s class number relation 43
5. On coverings of elliptic curves 137
6. On Artin L-series of irreducible characters of the symmetric group Sn 153
7. Higher Bruhat-Tits buildings and vector bundles on an algebraic surface 165
8. ½ Riemann existence theorem with Galois action 193
9. On a variation of Hilbert’s 17th problem 219
10. On the local Galois structure of S-units 229
11. Abelian varieties, p-adic heights and derivatives 247
12. The Tate conjecture for non-simple abelian varieties over finite fields 267