Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exemples de Lattes et domaines faiblement spheriques de C^n   In this paper, we study the attracting basins of the origin in C^(k+1) for
the polynomial lifts of Lattes examples. We show that their boundaries are
obtained as quotient of a spherical hypersurface and we explicit the
singularities that appear. These domains are surprising, because they are very
close to the ball, and admit a non injective self proper holomorphic map. For
the proof, we desingularize these boundaries into a spherical hypersurface in a
line bundle over a complex torus by using theta fonctions. Finally, we discuss
some examples in dimension 2. We show that some critically finite endomorphisms
of CP^2 considered by Ueda are actually Lattes examples although the one
studied by Fornaess and Sibony is not.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph