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Intersection Numbers of Divisors in Graph Varieties

Title: Intersection Numbers of Divisors in Graph Varieties.
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Name(s): Jones, Deborah, author
Aluffi, Paolo, professor directing thesis
Aldrovandi, Ettore, committee member
Hironaka., Eriko, committee member
Klassen, Eric, committee member
Reina, Laura, outside committee member
Department of Mathematics, degree granting department
Florida State University, degree granting institution
Type of Resource: text
Genre: Text
Issuance: monographic
Date Issued: 2003
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource
Language(s): English
Abstract/Description: 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.
Identifier: FSU_migr_etd-3426 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Fall Semester, 2003.
Date of Defense: August 22, 2003.
Bibliography Note: Includes bibliographical references.
Advisory Committee: Paolo Aluffi, Professor Directing Thesis; Ettore Aldrovandi, Committee Member; Eriko Hironaka., Committee Member; Eric Klassen, Committee Member; Laura Reina, Outside Committee Member.
Subject(s): Mathematics
Persistent Link to This Record: http://purl.flvc.org/fsu/fd/FSU_migr_etd-3426
Owner Institution: FSU

Choose the citation style.
Jones, D. (2003). Intersection Numbers of Divisors in Graph Varieties. Retrieved from http://purl.flvc.org/fsu/fd/FSU_migr_etd-3426