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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.
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  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 
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  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
  16_dj_bio.pdf 70.35 Kb 00:00:19 00:00:10 00:00:08 00:00:04 < 00:00:01

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