Minimal free resolutions of projective subschemes of small degree

Uwe Nagel

doi:10.1201/9781420050912

Minimal free resolutions of projective subschemes of small degree

Uwe Nagel

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Abstract

7.1 Introduction For an arbitrary projective subscheme X ⊂ Pⁿ, it is impossible to say much about its minimal free resolution. Some a priori information is needed. In this chapter we will consider integral subschemes as well as equidimensional Cohen-Macaulay subschemes of small degree. There are several encouraging results for such subschemes in the literature. Our goal is to discuss the known results and to motivate further research in order to complete these.

Original language	English
Title of host publication	Syzygies and Hilbert Functions
Pages	209-232
Number of pages	24
ISBN (Electronic)	9781420050912
DOIs	https://doi.org/10.1201/9781420050912
State	Published - Jan 1 2007

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Mathematics (all)

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10.1201/9781420050912

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Minimal free resolutions of projective subschemes of small degree

Abstract

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