TL;DR
This paper proves new injectivity theorems using mixed Hodge structures, which are essential for advancing minimal model theory in higher-dimensional algebraic geometry and includes some applications.
Contribution
It introduces injectivity theorems based on mixed Hodge structures, contributing to the minimal model program for complex algebraic varieties.
Findings
Proved injectivity theorems using mixed Hodge structures.
Established applications in minimal model theory.
Enhanced understanding of cohomology with compact support.
Abstract
We prove some injectivity theorems. Our proof depends on the theory of mixed Hodge structures on cohomology groups with compact support. Our injectivity theorems would play crucial roles in the minimal model theory for higher-dimensional algebraic varieties. We also treat some applications.
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 · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology