Affine structures and non-archimedean analytic spaces

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dc.creatorKontsevich, Maxim
dc.creatorSoibelman, Yan
dc.date2004-06-28
dc.date.accessioned2026-07-07T05:09:45Z
dc.date.available2026-07-07T05:09:45Z
dc.descriptionIn this paper we propose a way to construct an analytic space over a non-archimedean field, starting with a real manifold with an affine structure which has integral monodromy. Our construction is motivated by the junction of Homological Mirror conjecture and geometric Strominger-Yau-Zaslow conjecture. In particular, we glue from "flat pieces" an analytic K3 surface. As a byproduct of our approach we obtain an action of an arithmetic subgroup of the group $SO(1,18)$ by piecewise-linear transformations on the 2-dimensional sphere $S^2$ equipped with naturally defined singular affine structure.
dc.description80 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/math/0406564
dc.identifierhttp://arxiv.org/abs/math/0406564
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71699
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14J32; 14G22; 37J35
dc.titleAffine structures and non-archimedean analytic spaces
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