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Appendix: Complete Intersections and Serre’s Conjecture

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Serre’s Problem on Projective Modules

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Abstract

This Appendix is a somewhat expanded version of the “Appendix on Complete Intersections” that appeared in the original (1978) version of this book. The goal here is to offer some comments on the problem of complete intersections in algebraic geometry, and to explain some of its connections to Serre’s Conjecture in the period 1955–1976 (when the Conjecture stood open). Since such discussions are still essential today in coming to a full understanding of Serre’s Conjecture, I have chosen to preserve the Appendix in this version of the book, in spite of the fact that the main text of it was written in 1977.

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Lam, T.Y. (2006). Appendix: Complete Intersections and Serre’s Conjecture. In: Serre’s Problem on Projective Modules. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34575-6_10

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