超平面构形的半代数剖分与Borel-Moore同调基
Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements
摘要:
我们描述了一个明确的半代数分区的补充一个真正的超平面安排,使每一块是可收缩的,使件形成的基础上的Borel-Moore同源性。我们还给出了de Rham上同调和Borel-Moore同调之间的一个明确的对应关系。
英文摘要:
We describe an explicit semi-algebraic partition for the complement of a real hyperplane arrangement such that each piece is contractible and so that the pieces form a basis of Borel-Moore homology. We also give an explicit correspondence between the de Rham cohomology and the Borel-Moore homology.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。