Title page for ETD etd-08192004-095304

Type of Document

Dissertation

Author

Jones, Deborah

URN

etd-08192004-095304

Title

Intersection Number of Divisors in Graph Varieties

Degree

Doctor of Philosophy

Department

Mathematics, Department of

Advisory Committee

Advisor Name	Title
Paolo Aluffi	Committee Chair
Eric Klassen	Committee Member
Eriko Hironaka	Committee Member
Ettore Aldrovandi	Committee Member
Laura Reina	Committee Member

Keywords

Intersection Number
Divisors

Date of Defense

2003-12-01

Availability

unrestricted

Abstract

This dissertation studies certain intersection numbers of exceptional divisions arising from blowing up subspaces of lattices associated to graphs. These permit the computation of the Segre class of a scheme associated to the graph/lattice. Explicit formulas are provided for lattices associated to trees and several patterns among these numbers are explored. The problem can be related to the study of so-called Cremona transformations. It is shown that the geometry of such transformations explain a certain symmetry pattern we discovered.

Files

Filename		Size	Approximate Download Time (Hours:Minutes:Seconds)
Filename		Size	28.8 Modem	56K Modem	ISDN (64 Kb)	ISDN (128 Kb)	Higher-speed Access
	01_dj_title.pdf	38.40 Kb	00:00:10	00:00:05	00:00:04	00:00:02	< 00:00:01
	02_dj_sig2.pdf	37.72 Kb	00:00:10	00:00:05	00:00:04	00:00:02	< 00:00:01
	03_dj_contents.pdf	93.55 Kb	00:00:25	00:00:13	00:00:11	00:00:05	< 00:00:01
	04_dj_tables.pdf	41.38 Kb	00:00:11	00:00:05	00:00:05	00:00:02	< 00:00:01
	05_dj_abstract.pdf	40.71 Kb	00:00:11	00:00:05	00:00:05	00:00:02	< 00:00:01
	06_dj_abstract2.pdf	61.45 Kb	00:00:17	00:00:08	00:00:07	00:00:03	< 00:00:01
	07_dj_intro.pdf	356.10 Kb	00:01:38	00:00:50	00:00:44	00:00:22	00:00:01
	08_dj_segre.pdf	780.05 Kb	00:03:36	00:01:51	00:01:37	00:00:48	00:00:04
	09_dj_stuff.pdf	2.30 Mb	00:10:40	00:05:29	00:04:48	00:02:24	00:00:12
	10_dj_maple.pdf	951.62 Kb	00:04:24	00:02:15	00:01:58	00:00:59	00:00:05
	11_dj_sym.pdf	1.80 Mb	00:08:19	00:04:16	00:03:44	00:01:52	00:00:09
	12_dj_theorem.pdf	2.87 Mb	00:13:18	00:06:50	00:05:59	00:02:59	00:00:15
	13_dj_cremona.pdf	861.44 Kb	00:03:59	00:02:03	00:01:47	00:00:53	00:00:04
	14_dj_concl.pdf	210.65 Kb	00:00:58	00:00:30	00:00:26	00:00:13	00:00:01
	15_dj_bib.pdf	122.33 Kb	00:00:33	00:00:17	00:00:15	00:00:07	< 00:00:01
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