Reference : Properness for circle packings and Delaunay circle patterns on complex projective st... |
E-prints/Working papers : Already available on another site | |||
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 ![]() | |
Yarmola, Andrew ![]() | |
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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