On a Variety of Algebraic Minimal Surfaces in Euclidean 4-Space
MORIYA, Katsuhiro
Tokyo J. of Math., Tome 21 (1998) no. 2, p. 121-134 / Harvested from Project Euclid
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In this paper, we show that the moduli space of the Weierstrass data for algebraic minimal surfaces in Euclidean 4-space with fixed topological type, orders of branched points and ends, and total curvature, has the structure of a real analytic variety. We provide the lower bounds of its dimension. We also show that the moduli space of the Weierstrass data for stable algebraic minimal surfaces in Euclidean 4-space has the structure of a complex analytic variety.
Publié le : 1998-06-15
Classification:  
@article{1270041990,
     author = {MORIYA, Katsuhiro},
     title = {On a Variety of Algebraic Minimal Surfaces in Euclidean 4-Space},
     journal = {Tokyo J. of Math.},
     volume = {21},
     number = {2},
     year = {1998},
     pages = { 121-134},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270041990}
}

MORIYA, Katsuhiro. On a Variety of Algebraic Minimal Surfaces in Euclidean 4-Space. Tokyo J. of Math., Tome 21 (1998) no. 2, pp.  121-134. http://gdmltest.u-ga.fr/item/1270041990/