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Enumerative problems in intersection theory

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Author(s)
Giugni, Astrid Adele
Advisor(s)
Joseph D. Harris.
Date Issued
2003
Publisher
Massachusetts Institute of Technology
Abstract
We develop and describe some of the basic tools of intersection theory in algebraic geometry. Some classical enumerative problems are then solved using these methods. In particular, we discuss the Fano variety of a cubic in surface in P3 , determinantal varieties, and the number of conics tangent to five conics in P2 .
Description
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2003.
Includes bibliographical references (leaf 61).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Persistent DSpace Link
http://hdl.handle.net/1721.1/29580
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