Moduli spaces of 6 and 7-dimensional complete intersections
Jianbo Wang
TL;DR
This paper demonstrates the existence of complex 6- and 7-dimensional complete intersections with the same topological type but belonging to moduli space components of different dimensions, extending previous results on 5-dimensional cases.
Contribution
It establishes the existence of homeomorphic (diffeomorphic) high-dimensional complete intersections in different moduli space components, revealing new insights into their structure.
Findings
Existence of homeomorphic 6-dimensional complete intersections in different moduli components.
Existence of diffeomorphic 7-dimensional complete intersections in different moduli components.
Extension of previous results on 5-dimensional complete intersections.
Abstract
This paper proves the existence of homeomorphic (diffeomorphic) complex 6-dimensional (7-dim) complete intersections that belong to components of the moduli space of different dimensions. These results are given as a supplement to earlier result on 5-dimensional complete intersections.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Geometric and Algebraic Topology