Proper holomorphic maps from the unit disk to some unit ball
Publication
, Journal Article
D’Angelo, JP; Huo, Z; Xiao, M
Published in: Proceedings of the American Mathematical Society
January 1, 2017
We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of polynomial proper maps from the disk to a ball, and we establish a normal form for these equivalence classes. We also prove that all rational proper maps from the disk to a ball are homotopic in target dimension at least 2.
Duke Scholars
Published In
Proceedings of the American Mathematical Society
DOI
EISSN
1088-6826
ISSN
0002-9939
Publication Date
January 1, 2017
Volume
145
Issue
6
Start / End Page
2649 / 2660
Related Subject Headings
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
D’Angelo, J. P., Huo, Z., & Xiao, M. (2017). Proper holomorphic maps from the unit disk to some unit ball. Proceedings of the American Mathematical Society, 145(6), 2649–2660. https://doi.org/10.1090/proc/13425
D’Angelo, J. P., Z. Huo, and M. Xiao. “Proper holomorphic maps from the unit disk to some unit ball.” Proceedings of the American Mathematical Society 145, no. 6 (January 1, 2017): 2649–60. https://doi.org/10.1090/proc/13425.
D’Angelo JP, Huo Z, Xiao M. Proper holomorphic maps from the unit disk to some unit ball. Proceedings of the American Mathematical Society. 2017 Jan 1;145(6):2649–60.
D’Angelo, J. P., et al. “Proper holomorphic maps from the unit disk to some unit ball.” Proceedings of the American Mathematical Society, vol. 145, no. 6, Jan. 2017, pp. 2649–60. Scopus, doi:10.1090/proc/13425.
D’Angelo JP, Huo Z, Xiao M. Proper holomorphic maps from the unit disk to some unit ball. Proceedings of the American Mathematical Society. 2017 Jan 1;145(6):2649–2660.
Published In
Proceedings of the American Mathematical Society
DOI
EISSN
1088-6826
ISSN
0002-9939
Publication Date
January 1, 2017
Volume
145
Issue
6
Start / End Page
2649 / 2660
Related Subject Headings
- 4904 Pure mathematics
- 0101 Pure Mathematics