x CONTENTS §1. Depth, syzygies, and Serre’s conditions 309 §2. Multiplicity and rank 313 §3. Henselian rings 317 Appendix B. Ramification Theory 321 §1. Unramified homomorphisms 321 §2. Purity of the branch locus 326 §3. Galois extensions 335 Bibliography 341 Index 355
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