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Titlebook: Introduction to Liaison Theory and Deficiency Modules; Juan C. Migliore Book 1998Latest edition Birkhäuser Boston 1998 Deficiency Modules.

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发表于 2025-3-21 18:18:50 | 显示全部楼层 |阅读模式
书目名称Introduction to Liaison Theory and Deficiency Modules
编辑Juan C. Migliore
视频videohttp://file.papertrans.cn/474/473824/473824.mp4
丛书名称Progress in Mathematics
图书封面Titlebook: Introduction to Liaison Theory and Deficiency Modules;  Juan C. Migliore Book 1998Latest edition Birkhäuser Boston 1998 Deficiency Modules.
描述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 i
出版日期Book 1998Latest edition
关键词Deficiency Modules; Finite; Invariant; Liaison theory; algebra; calculus; equation; geometry; theorem
版次2
doihttps://doi.org/10.1007/978-1-4612-1794-7
isbn_softcover978-1-4612-7286-1
isbn_ebook978-1-4612-1794-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkhäuser Boston 1998
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Liaison Theory in Arbitrary Codimension, more work in the complete intersection setting than in the more general Gorenstein setting. For this reason, the first version of this book treated only the case of complete intersections. We will still treat the codimension two case in the next chapter.
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Background,ll always make it clear when we are making this assumption. All varieties and subschemes will be assumed to be projective. We shall denote by . the homogeneous polynomial ring .,… .,. and we let ℙ. = ℙ. = Proj . Since . is a graded ring, it is the direct sum of its homogeneous components: . = ⊗..,wh
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Buchsbaum Curves and Liaison Addition,true for curves in ℙ. (for instance see Rao’s theorem, Theorem 1.2.7.) As an illustration of this connection, in this chapter we consider the case of Buchsbaum curves. Recall that a Buchsbaum curve is one whose deficiency module structure is trivial, i.e. it is annihilated by all linear forms (cf. p
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