Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Motivic volume of families of polarized rigid-analytic tori   Let $k$ be a non-Archimedean rational valued field. We construct the moduli
space of linearly rigidified polarized analytic tori over $k$ that admit
rigid-analytic uniformization by an algebraic torus and observe that it is in
definable rigid subanalytic bijection with a $PGL_N$-bundle over a polyhedral
domain in an algebraic torus. We use this observation to prove that the
Hrushovski-Kazhdan motivic volume of a non-Archimedean semi-algebraic family of
Abelian varieties admitting such a uniformization fibrewise vanishes. This
question is motivated by the conjectural geometric interpretation of tropical
refined multiplicities of Block and Goetsche proposed by Nicaise, Payne and
Schroeter.

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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex