Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-isogenous abelian varieties sharing the same division fields   Two abelian varieties $A_1, A_2$ over a number field $K$ are called strongly
iso-Kummerian if the torsion fields $K(A_1[d])$ and $K(A_2[d])$ coincide for
all $d \geq 1$. For all $g \geq 4$ we construct geometrically simple, strongly
iso-Kummerian $g$-dimensional abelian varieties over number fields that are not
geometrically isogenous. We also discuss related examples and put significant
constraints on any further iso-Kummerian pair.

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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
19
The categories of this paper are: eess
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci