Positivity for Hodge modules and geometric applications
Mihnea Popa
TL;DR
This paper surveys vanishing and positivity theorems for Hodge modules and discusses their recent applications in birational and complex geometry, highlighting advances in the field.
Contribution
It provides a comprehensive overview of recent developments in positivity for Hodge modules and their geometric applications, expanding on previous lectures.
Findings
Enhanced understanding of vanishing theorems for Hodge modules
New applications to birational geometry
Progress in complex geometric problems
Abstract
This is a survey of vanishing and positivity theorems for Hodge modules, and their recent applications to birational and complex geometry, expanding on my lecture at the 2015 AMS Summer Institute.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology