Specialization of linear systems from curves to graphs

Baker, Matthew

doi:10.2140/ant.2008.2.613

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

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

DOI: 10.2140/ant.2008.2.613

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

Vol. 2, No. 6, 2008