This article is available for purchase or by subscription. See below.
Abstract
|
We describe a problem in algebraic geometry where the solution involves Catalan
numbers. More specifically, we consider the derived category of coherent
sheaves on an elliptic surface and the action of its autoequivalence group on its
Bridgeland stability manifold. In solving an equation involving this group
action, the generating function of Catalan numbers arises, allowing us to use
asymptotic estimates of Catalan numbers to arrive at a bound for the solution
set.
|
PDF Access Denied
We have not been able to recognize your IP address
18.119.160.154
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 30.00:
Keywords
Bridgeland stability, Catalan numbers, autoequivalence
|
Mathematical Subject Classification
Primary: 14F08, 14J27
Secondary: 05A15, 05E14
|
Milestones
Received: 21 April 2021
Revised: 9 October 2021
Accepted: 30 October 2021
Published: 2 December 2022
Communicated by Ravi Vakil
|
|