Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fundamental polyhedra for all Deligne-Mostow lattices in PU(2,1)   In this work we will build a fundamental domain for Deligne-Mostow lattices
in PU(2,1) with 2-fold symmetry, which complete the whole list of
Deligne-Mostow lattices in dimension 2. These lattices were introduced by
Deligne and Mostow using monodromy of hypergeometric functions and have been
reinterpreted by Thurston as authomorphisms on a sphere with cone
singularities. Following his approach, Parker, Boadi and Parker, and
Pasquinelli built a fundamental domain for the class of lattices with 3-fold
symmetry, i.e. when three of five cone singularities have same cone angle. Here
we extend this construction to the asymmetric case, where only two of the five
cone points on the sphere have same cone angle, so to have a fundamental domain
for each commensurability class of Deligne-Mostow lattices in PU(2,1).

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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn