Any two symplectic forms on a p-adic analytic manifold are locally isomorphic, and second-countable p-adic analytic symplectic manifolds are classified by their p-adic volume.
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Introduces techniques based on solving biquadratic equations and new notions of almost eigenvectors and aligned symplectic coordinates to determine local normal forms of 4D p-adic analytic integrable systems.
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Darboux's Theorem in $p$-adic symplectic geometry
Any two symplectic forms on a p-adic analytic manifold are locally isomorphic, and second-countable p-adic analytic symplectic manifolds are classified by their p-adic volume.
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$p$-adic integrable systems: from biquadratic equations to local models
Introduces techniques based on solving biquadratic equations and new notions of almost eigenvectors and aligned symplectic coordinates to determine local normal forms of 4D p-adic analytic integrable systems.