Geodesic
Complete bounded embedded complex curves in $\mathbb C^2$
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1675-1705

Voir la notice de l'article provenant de la source EMS Press

We prove that any convex domain of C2 carries properly embedded complete complex curves. In particular, we give the first examples of complete bounded embedded complex curves in C2.
DOI : 10.4171/jems/625
Classification : 32-XX
Keywords: Riemann surfaces, complex curves, complete holomorphic embeddings 
@article{JEMS_2016_18_8_a1,
     author = {Antonio Alarc\'on and Francisco J. L\'opez},
     title = {Complete bounded embedded complex curves in $\mathbb C^2$},
     journal = {Journal of the European Mathematical Society},
     pages = {1675--1705},
     publisher = {mathdoc},
     volume = {18},
     number = {8},
     year = {2016},
     doi = {10.4171/jems/625},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/625/}
}
TY  - JOUR
AU  - Antonio Alarcón
AU  - Francisco J. López
TI  - Complete bounded embedded complex curves in $\mathbb C^2$
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 1675
EP  - 1705
VL  - 18
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/625/
DO  - 10.4171/jems/625
ID  - JEMS_2016_18_8_a1
ER  - 
%0 Journal Article
%A Antonio Alarcón
%A Francisco J. López
%T Complete bounded embedded complex curves in $\mathbb C^2$
%J Journal of the European Mathematical Society
%D 2016
%P 1675-1705
%V 18
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/625/
%R 10.4171/jems/625
%F JEMS_2016_18_8_a1
Antonio Alarcón; Francisco J. López. Complete bounded embedded complex curves in $\mathbb C^2$. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1675-1705. doi: 10.4171/jems/625

Cité par Sources :