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On multisecants and the Green-Lazarsfeld index of projective varieties
- Authors
- Lee, Wanseok; Park, Euisung; Woo, Youngho
- Issue Date
- 6월-2011
- Publisher
- BIRKHAUSER VERLAG AG
- Keywords
- Multisecant space; Green-Lazarsfeld index; Variety of low degree
- Citation
- ARCHIV DER MATHEMATIK, v.96, no.6, pp.525 - 530
- Indexed
- SCIE
SCOPUS
- Journal Title
- ARCHIV DER MATHEMATIK
- Volume
- 96
- Number
- 6
- Start Page
- 525
- End Page
- 530
- ISSN
- 0003-889X
- Abstract
- It is well known that a nondegenerate projective subvariety X subset of P(r) of degree d and codimension c > 1 has minimal degree (i.e., d = c+1) if and only if index(X) >= c if and only if X has no multisecant c-space. In this paper we extend this result by classifying varieties with index(X) >= c - s or with no multisecant (c - s)- space for s = 1 and 2.
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