Fibers of tropicalization

Fibers of tropicalization
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热带化纤维

DOI:
10.1007/s00209-008-0374-x
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发表时间:
2007
影响因子:
0.8
通讯作者:
S. Payne
S. Payne
中科院分区:
数学2区
文献类型:
--
作者:
S. Payne

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我们使用函的tropicalization和几何形状的投影的子品种的环面,以表明纤维的tropicalization地图是密集的Zagliki拓扑。对于广义幂级数域上的环面的子簇,每个热带纤维中的点都是使用Kedlaya的超限牛顿方法“建设性地”获得的。
We use functoriality of tropicalization and the geometry of projections of subvarieties of tori to show that the fibers of the tropicalization map are dense in the Zariski topology. For subvarieties of tori over fields of generalized power series, points in each tropical fiber are obtained “constructively” using Kedlaya’s transfinite version of Newton’s method.