论文标题

组合拼布:从热带几何形状返回

Combinatorial patchworking: back from tropical geometry

论文作者

Brugallé, Erwan, de Medrano, Lucía López, Rau, Johannes

论文摘要

We show that, once translated to the dual setting of convex triangulations of lattice polytopes, results and methods from previous tropical works by Arnal-Renaudineau-Shaw, Renaudineau-Shaw, Renaudineau-Rau-Shaw, and Jell-Rau-Shaw extend to non-convex triangulations.因此,虽然将Viro的拼凑方法转换为热带突出表面的设置启发了过去二十年的几个巨大发展,但我们返回到原始的多层设置,以概括并简化有关$ t $ t $ submmanifolds of Real Toricselifordies的拓扑结构。

We show that, once translated to the dual setting of convex triangulations of lattice polytopes, results and methods from previous tropical works by Arnal-Renaudineau-Shaw, Renaudineau-Shaw, Renaudineau-Rau-Shaw, and Jell-Rau-Shaw extend to non-convex triangulations. So, while the translation of Viro's patchworking method to the setting of tropical hypersurfaces has inspired several tremendous developments over the last two decades, we return to the the original polytope setting in order to generalize and simplify some results regarding the topology of $T$-submanifolds of real toric varieties.

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