Vol. 2, No. 6, 2008

Download this article
Download this article For screen
For printing
Recent Issues

Volume 15
Issue 6, 1343–1592
Issue 5, 1077–1342
Issue 4, 821–1076
Issue 3, 569–820
Issue 2, 309–567
Issue 1, 1–308

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Subscriptions
 
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
 
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
 
Other MSP Journals
Specialization of linear systems from curves to graphs

Matthew Baker

Appendix: Brian Conrad

Vol. 2 (2008), No. 6, 613–653
Abstract

We investigate the interplay between linear systems on curves and graphs in the context of specialization of divisors on an arithmetic surface. We also provide some applications of our results to graph theory, arithmetic geometry, and tropical geometry.

Keywords
arithmetic surface, specialization, dual graph, reduction graph, Brill–Noether theory, Weierstrass point, tropical geometry
Mathematical Subject Classification 2000
Primary: 14H25, 05C99
Secondary: 14H51, 14H55
Milestones
Received: 21 February 2008
Revised: 13 May 2008
Accepted: 12 June 2008
Published: 14 October 2008
Authors
Matthew Baker
School of Mathematics
Georgia Institute of Technology
Atlanta, GA 30332-0160
United States
Brian Conrad