Properness for circle packings and Delaunay circle patterns on complex  projective structures

Reference : Properness for circle packings and Delaunay circle patterns on complex projective st...


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/35935

Title :	Properness for circle packings and Delaunay circle patterns on complex projective structures
Language :	English
Author, co-author :	Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Yarmola, Andrew [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	Jun-2018
Edition :	1
Number of pages :	31
Peer reviewed :	No
Abstract :	[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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/35935
source URL :	http://arxiv.org/abs/1806.05254

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