On the moduli space of superminimal surfaces in spheres

Luis Fernández

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-25

Abstract:

Using a birational correspondence between the twistor space of S 2 n and projective space, we describe, up to birational equivalence, the moduli space of superminimal surfaces in S 2 n of degree d as curves of degree d in projective space satisfying a certain differential system. Using this approach, we show that the moduli space of linearly full maps is nonempty for sufficiently large degree and we show that the dimension of this moduli space for n = 3 and genus 0 is greater than or equal to 2 d + 9 . We also give a direct, simple proof of the connectedness of the moduli space of superminimal surfaces in S 2 n of degree d .

Date: 2003
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2003/196948.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2003/196948.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:196948

DOI: 10.1155/S0161171203112161

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().