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On syzygies of divisors on rational normal scrolls
- Authors
- Park, Euisung
- Issue Date
- 8월-2014
- Publisher
- WILEY-V C H VERLAG GMBH
- Keywords
- Divisor of a rational normal scroll; Minimal free resolution
- Citation
- MATHEMATISCHE NACHRICHTEN, v.287, no.11-12, pp.1383 - 1393
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATISCHE NACHRICHTEN
- Volume
- 287
- Number
- 11-12
- Start Page
- 1383
- End Page
- 1393
- ISSN
- 0025-584X
- Abstract
- In this paper, we study the minimal free resolution of a nondegenerate projective variety X subset of P-r when X is contained in a variety Y of minimal degree as a divisor. Such a variety is of interest because of its extremal behavior with respect to various properties. The graded Betti diagram of X has been completely known only when X is arithmetically Cohen-Macaulay. Our main result in the present paper provides a detailed description of the graded Betti diagram of X for the case where X is not arithmetically Cohen-Macaulay. (C) 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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