Abstract
It is well known that a nondegenerate projective subvariety X ⊂ ℙr 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.
| Original language | English |
|---|---|
| Pages (from-to) | 525-530 |
| Number of pages | 6 |
| Journal | Archiv der Mathematik |
| Volume | 96 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2011 Jun 1 |
Keywords
- Green-Lazarsfeld index
- Multisecant space
- Variety of low degree
ASJC Scopus subject areas
- Mathematics(all)
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Lee, W., Park, E., & Woo, Y. (2011). On multisecants and the Green-Lazarsfeld index of projective varieties. Archiv der Mathematik, 96(6), 525-530. https://doi.org/10.1007/s00013-011-0270-1