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This work finds an invariant volume form, establishing integrability in three-dimensional QRT maps linked to quadrics.
Recently, we proposed a three-dimensional generalization of QRT maps. These novel maps can be associated with pairs of pencils of quadrics in P³ P 3 . By construction, these maps have two rational integrals (parameters of both pencils). In the present paper, we find an invariant volume form for these maps, thus finally establishing their integrability.
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Alonso et al. (2026) studied this question.
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