Canonical isomorphisms of determinant line bundles
Damian R\"ossler
TL;DR
This paper presents a refined version of the Grothendieck-Riemann-Roch theorem specifically in degree one, enhancing the understanding of determinant line bundles in algebraic geometry.
Contribution
It provides a new refinement of the Grothendieck-Riemann-Roch theorem in degree one, focusing on canonical isomorphisms of determinant line bundles.
Findings
Established a refined isomorphism for determinant line bundles
Enhanced the theoretical framework of the Grothendieck-Riemann-Roch theorem in degree one
Provided new tools for algebraic geometry involving line bundles
Abstract
We prove a refinement of the Grothendieck-Riemann-Roch theorem in degree one.
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