Co-fibered products of algebraic curves
Fedor Bogomolov, Yuri Tschinkel
TL;DR
This paper explores the limitations of co-fibered products in algebraic curves by providing specific examples where such products do not exist, highlighting boundaries of current algebraic geometry constructions.
Contribution
The paper presents explicit examples demonstrating the non-existence of co-fibered products in the category of algebraic curves, advancing understanding of their structural constraints.
Findings
Examples of non-existent co-fibered products
Clarification of conditions where co-fibered products fail
Insights into algebraic curve category limitations
Abstract
We give examples of failure of the existence of co-fibered products in the category of algebraic curves.
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 · Commutative Algebra and Its Applications · Polynomial and algebraic computation