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ON SYZYGIES OF LINEAR SECTIONS
- Authors
- Park, Euisung
- Issue Date
- 5월-2015
- Publisher
- AMER MATHEMATICAL SOC
- Keywords
- Minimal free resolution; Linear section
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.143, no.5, pp.1831 - 1836
- Indexed
- SCIE
SCOPUS
- Journal Title
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume
- 143
- Number
- 5
- Start Page
- 1831
- End Page
- 1836
- ISSN
- 0002-9939
- Abstract
- In this paper, we study how the minimal free resolution of a closed subscheme X subset of P-r relates to that of a linear section X boolean AND Lambda subset of Lambda = P-s (0 < s < r). Our main result implies that the shape of the final non-zero row of the Betti diagram of X is preserved under taking the zero-dimensional and one-dimensional linear sections.
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