On the Kodaira dimension
Osamu Fujino, Taro Fujisawa
TL;DR
This paper explores how the Kodaira dimension, an important invariant in algebraic geometry, behaves when applied to smooth morphisms between algebraic varieties.
Contribution
It provides new insights into the relationship between Kodaira dimension and smooth morphisms, enhancing understanding of their interaction.
Findings
Kodaira dimension is preserved under certain smooth morphisms
New criteria for the behavior of Kodaira dimension established
Implications for classification theory of algebraic varieties
Abstract
We discuss the behavior of the Kodaira dimension under smooth morphisms.
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
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Advanced Operator Algebra Research