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Introduction to Liaison Theory and Deficiency Modules (Hardcover, 2nd ed. 1998)
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Introduction to Liaison Theory and Deficiency Modules (Hardcover, 2nd ed. 1998)
Series: Progress in Mathematics, 165
Expected to ship within 10 - 15 working days
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In the fall of 1992 I was invited by Professor Changho Keem to
visit Seoul National University and give a series of talks. I was
asked to write a monograph based on my talks, and the result was
published by the Global Analysis Research Center of that University
in 1994. The monograph treated deficiency modules and liaison
theory for complete intersections. Over the next several years I
continually thought of improvements and additions that I would like
to make to the manuscript, and at the same time my research led me
in directions that gave me a fresh perspective on much of the
material, especially in the direction of liaison theory. This re
sulted in a dramatic change in the focus of this manuscript, from
complete intersections to Gorenstein ideals, and a substantial
amount of additions and revisions. It is my hope that this book now
serves not only as an introduction to a beautiful subject, but also
gives the reader a glimpse at very recent developments and an idea
of the direction in which liaison theory is going, at least from my
perspective. One theme which I have tried to stress is the
tremendous amount of geometry which lies at the heart of the
subject, and the beautiful interplay between algebra and geometry.
Whenever possible I have given remarks and examples to illustrate
this interplay, and I have tried to phrase the results in as
geometric a way as possible."
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