Real-valued differential forms on Berkovich analytic spaces and their cohomology
Real-valued differential forms on Berkovich analytic spaces and their cohomology
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Berkovich解析空间上的实值微分形式及其上同调
DOI：
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发表时间：
2016
期刊：
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通讯作者：
Philipp Jell
中科院分区：
文献类型：
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作者：
Philipp Jell
研究了热带变异的超形式和Berkovich空间的微分形式。
We study superforms on tropical varieties and differential forms on Berkovich spaces.
For superforms on tropical varieties, we extend the previous defintionts, prove a Poincare lemma and prove Poincare duality for tropical manifolds.
For differential forms on Berkovich spaces we also prove a Poincare lemma and finite dimensionality results.
We further define new, but equivalent, approaches to differential forms on Berkovich spaces.