Enumerative problems in intersection theory

Author(s)
Giugni, Astrid Adele
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Massachusetts Institute of Technology. Dept. of Mathematics.
Advisor
Joseph D. Harris.
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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).
 
Date issued
2003
URI
http://hdl.handle.net/1721.1/29580
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Massachusetts Institute of Technology
Keywords
Mathematics.
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