热带化纤维
Fibers of tropicalization
摘要:
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环面的子簇,用Kedlaya的牛顿法的超限版本“建设性地”得到每个热带纤维中的点。
英文摘要:
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.
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