TL;DR
This paper establishes new vanishing, injectivity, and torsion-free theorems for simple normal crossing pairs, utilizing mixed Hodge structures, and explores properties of semi divisorial log terminal pairs.
Contribution
It introduces novel vanishing and injectivity theorems for simple normal crossing pairs based on mixed Hodge theory, and analyzes properties of semi divisorial log terminal pairs.
Findings
Proved injectivity and vanishing theorems for simple normal crossing pairs.
Analyzed properties of semi divisorial log terminal pairs.
Utilized mixed Hodge structures on compact support cohomology.
Abstract
We prove some injectivity, torsion-free, and vanishing theorems for simple normal crossing pairs. Our results heavily depend on the theory of mixed Hodge structures on compact support cohomology groups. We also treat several basic properties of semi divisorial log terminal pairs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry