|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Classifying sections of
del Pezzo fibrations, II
Brian Lehmann and Sho Tanimoto |
|
Geometry & Topology 26 (2022) 2565–2647
|
|
DOI: 10.2140/gt.2022.26.2565
|
Abstract |
|
Let be a del Pezzo surface over the function field of a complex curve. We study the behavior of rational points on leading to bounds on the counting function in the geometric Manin conjecture. A key tool is the movable bend-and-break lemma, which yields an inductive approach to classifying relatively free sections for a del Pezzo fibration over a curve. Using this lemma we prove the geometric Manin conjecture for certain split del Pezzo surfaces of degree admitting a birational morphism to over the ground field. |
PDF Access Denied
We have not been able to recognize your IP address
3.128.200.68
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
section, del Pezzo fibration, Fujita invariant, geometric
Manin's conjecture
|
Mathematical Subject Classification
Primary: 14H10
|
References |
Publication
Received: 15 July 2020
Revised: 10 June 2021
Accepted: 8 July 2021
Published: 13 December 2022
Proposed: Dan Abramovich
Seconded: Mark Gross, Benson Farb
|
Authors |
| Brian Lehmann | |
| Department of Mathematics Boston College Chestnut Hill, MA United States |
|
| Sho Tanimoto | |
| Graduate School of Mathematics Nagoya University Nagoya Japan |
|
