A remark on very ample linear series: II
详细信息 查看全文
- 作者：Gerriet Martens (1) martens@mi.uni-erlangen.de
- 关键词：Mathematics Subject Classification (1991) 14H45 – ; Secondary 14H51
- 刊名：Archiv der Mathematik
- 出版年：2012
- 出版时间：August 2012
- 年：2012
- 卷：99
- 期：2
- 页码：111-124
- 全文大小：257.1 KB
- 参考文献：1. E. Arbarello et al., Geometry of Algebraic Curves. Vol. I. Grundlehren Math. Wiss. 267, Berlin - New York 1985.
2. W. Barth et al., Compact Complex Surfaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 4. Berlin - New York 2004
3. Bruce J.W., Wall C.T.C.: On the classification of cubic surfaces. J. London Math. Soc. 19, 245–256 (1979)
4. Coppens M., Martens G.: Linear series on 4-gonal curves. Math. Nachr. 213, 35–55 (2000)
5. Coppens M., Martens G.: Divisorial complete curves. Arch. Math. 86, 409–418 (2006)
6. Griffiths P., Harris J.: Principles of Algebraic Geometry. Wiley-Interscience, New York (1978)
7. J. Harris, Curves in projective space. (In collaboration with D. Eisenbud.) Montreal 1982.
8. R. Hartshorne, Algebraic Geometry. Graduate texts in mathematics 52, Berlin-New York 1977.
9. Martens G., Park S.: A remark on very ample linear series. Arch. Math. 80, 611–614 (2003)
10. Martens G., Schreyer F.-O.: Line bundles and syzygies of trigonal curves. Abh. Math. Sem. Univ. Hamburg 56, 169–189 (1986)
11. M. Sagraloff, Special linear series and syzygies of canonical curves of genus 9. PhD-thesis Univ. Saarbruecken 2006. http://www.mpi-inf.mpg.de/~msagralo/syzcanoncurveg9.pdf - 作者单位：1. Department Mathematik, Univ. Erlangen-N眉rnberg, Cauerstr. 11, 91058 Erlangen, Germany
- ISSN：1420-8938
文摘
The distribution of complete and very ample linear series gdr{g_d^r} on a curve X of genus g is only well known if they satisfy the inequality g−d + r ≤ 1, for their index of speciality. In this paper we mainly study those curves X on which all complete and very ample gdr{g_d^r} satisfy this inequality. The interesting case g = 9 is discussed in detail.