Reference : Properness for circle packings and Delaunay circle patterns on complex projective st...
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Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
http://hdl.handle.net/10993/35935
Properness for circle packings and Delaunay circle patterns on complex projective structures
English
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Yarmola, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Jun-2018
1
31
No
[en] We consider circle packings and, more generally, Delaunay circle patterns -
arrangements of circles arising from a Delaunay decomposition of a finite set
of points - on surfaces equipped with a complex projective structure. Motivated
by a conjecture of Kojima, Mizushima and Tan, we prove that the forgetful map
sending a complex projective structure admitting a circle packing with given
nerve (resp. a Delaunay circle pattern with given nerve and intersection
angles) to the underlying complex structure is proper.
Researchers
http://hdl.handle.net/10993/35935
http://arxiv.org/abs/1806.05254

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