非阿基米德半代数集的几何不变量

Algebraic Geometry: Salt Lake City 2015 Pub Date : 2016-03-29 DOI:10.1090/PSPUM/097.2/01711

J. Nicaise

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引用次数: 5

摘要

本文利用Hrushovski和Kazhdan的动机积分理论，解释了如何将几何不变量附加到非阿基米德域上定义的半代数集上。它还讨论了在具体情况下计算这些不变量的热带方法，以及与Sam Payne和Franziska Schroeter合作开发的精细曲线计数的应用。

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Geometric invariants for non-archimedean semialgebraic sets

This survey paper explains how one can attach geometric invariants to semialgebraic sets defined over non-archimedean fields, using the theory of motivic integration of Hrushovski and Kazhdan. It also discusses tropical methods to compute these invariants in concrete cases, as well as an application to refined curve counting, developed in collaboration with Sam Payne and Franziska Schroeter.

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Algebraic Geometry: Salt Lake City 2015

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