78
Views
1
CrossRef citations to date
0
Altmetric
Articles

Quadrics and normal generation of line bundles on multiple coverings

&
Pages 4592-4609 | Received 20 Oct 2021, Accepted 11 Apr 2022, Published online: 10 May 2022

References

  • Arbarello, E., Cornalba, M., Griffiths, P., Harris, J. (1985). Geometry of Algebraic Curves. Berlin; Heidelberg; New York; Tokyo: Springer Verlag.
  • Akahori, K. (2019). Normal generation and covers of small degree. Commun. Algebra. 47(2):611–623. DOI: 10.1080/00927872.2018.1492584.
  • Ballico, E., Fontanari, C. (2010). Normally generated line bundles on general curves, II. J. Pure Appl. Alg. 214(8):1450–1455. DOI: 10.1016/j.jpaa.2009.08.002.
  • Ballico, E., Keem, C., Kim, S. (2003). Normal generation of line bundles on a general k-gonal algebraic curve. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. 6(8):557–562.
  • Choi, Y., Kim, S., Kim, Y. (2007). Normal generation and Clifford index on algebraic curves. Math. Z. 257(1):23–31. DOI: 10.1007/s00209-007-0112-9.
  • Green, M., Lazarsfeld, R. (1986). On the projective normality of complete linear series on an algebraic curve. Invent Math. 83(1):73–90. DOI: 10.1007/BF01388754.
  • Hartshorne, R. (1977). Algebraic Geometry. New York; Heidelberg: Springer-Verlag.
  • Kim, S. (2010). Normal generation of line bundles on multiple coverings. J. Alg. 323(9):2337–2352. DOI: 10.1016/j.jalgebra.2010.02.017.
  • Kim, S., Kim, Y. (2004). Normal generation of line bundles on algebraic curves. J. Pure Appl. Alg. 192(1–3):173–186. DOI: 10.1016/j.jpaa.2004.01.008.
  • Kato, T., Keem, C., Ohbuchi, A. (1999). Normal generation of line bundles of high degrees on smooth algebraic curves. Abh. Math. Semin. Univ. Hambg. 69(1):319–333. DOI: 10.1007/BF02940883.
  • Lange, H., Martens, G. (1985). Normal generation and presentation of line bundles of low degree on curves. J. Reine Angew. Math. 356:1–18. DOI: 10.1515/crll.1985.356.1.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.