In analytic geometry, an affinoid is a sub-space of a unit polydisc, formally dual to an affinoid algebra (see there for more). These are the basic spaces out of which analytic spaces are built by gluing.
Wikipedia, Rigid analytic space
Johannes Nicaise, Chenyang Xu, Tony Yue Yu, The non-archimedean SYZ fibration, arxiv/1802.00287
We construct non-archimedean SYZ fibrations for maximally degenerate Calabi-Yau varieties, and we show that they are affinoid torus fibrations away from a codimension two subset of the base. This confirms a prediction by Kontsevich and Soibelman. We also give an explicit description of the induced integral affine structure on the base of the SYZ fibration. Our main technical tool is a study of the structure of minimal dlt-models along one-dimensional strata.
Last revised on February 3, 2018 at 09:30:34. See the history of this page for a list of all contributions to it.