The perverse filtration and the Lefschetz Hyperplane Theorem
Mark Andrea de Cataldo, Luca Migliorini
TL;DR
This paper explains how the perverse filtration in cohomology can be understood through the Lefschetz Hyperplane Theorem, providing insights into the structure of algebraic varieties.
Contribution
It offers a new perspective on the perverse filtration by relating it explicitly to the Lefschetz Hyperplane Theorem, enhancing understanding of cohomological structures.
Findings
Perverse filtration can be described via Lefschetz Hyperplane Theorem
Provides a new conceptual framework for cohomology
Bridges perverse sheaves and hyperplane sections
Abstract
We describe the perverse filtration in cohomology using the Lefschetz Hyperplane Theorem.
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Taxonomy
TopicsReservoir Engineering and Simulation Methods · Advanced Numerical Analysis Techniques