Minimal free resolutions of projective subschemes of small degree

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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 languageEnglish
Title of host publicationSyzygies and Hilbert Functions
Number of pages24
ISBN (Electronic)9781420050912
StatePublished - Jan 1 2007

ASJC Scopus subject areas

  • Mathematics (all)


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