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Distribution value of algebraic curves and the Gauss maps on algebraic minimal surfaces
- Source :
- International Journal of Mathematics. 32:2150028
- Publication Year :
- 2021
- Publisher :
- World Scientific Pub Co Pte Lt, 2021.
-
Abstract
- In this paper, we first establish a degeneracy second main theorem for algebraic curves from compact complex Riemann surfaces into projective varieties intersecting hypersurfaces in subgeneral position. We then use it to study the ramified values for the Gauss map of the complete (regular) minimal surfaces in [Formula: see text] with finite total curvature in the case where the Gauss map may be algebraic degenerate. Our results generalize and improve the previous results in the field.
- Subjects :
- Pure mathematics
021103 operations research
Gauss map
Minimal surface
Distribution (number theory)
General Mathematics
Riemann surface
010102 general mathematics
Gauss
0211 other engineering and technologies
02 engineering and technology
01 natural sciences
symbols.namesake
symbols
Algebraic curve
0101 mathematics
Algebraic number
Degeneracy (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 17936519 and 0129167X
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- International Journal of Mathematics
- Accession number :
- edsair.doi...........bb1727045767248e31eaa6a0a34e40e2