On planar rational cuspidal curves
Name
890211671-MIT.pdf
Description
Full printable version
Size
5.76 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Liu, Tiankai
Advisor(s)
James McKernan.
Date Issued
2014
Publisher
Massachusetts Institute of Technology
Abstract
This thesis studies rational curves in the complex projective plane that are homeomorphic to their normalizations. We derive some combinatorial constraints on such curves from a result of Borodzik-Livingston in Heegaard-Floer homology. Using these constraints and other tools from algebraic geometry, we offer a solution to certain cases of the Coolidge-Nagata problem on the rectifiability of planar rational cuspidal curves, that is, their equivalence to lines under the Cremona group of birational automorphisms of the plane.
Description
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.
18
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 145-146).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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