On affine embeddings of reductive groups
Name
769951918-MIT.pdf
Description
Full printable version
Size
2.77 MB
Format
Adobe PDF
Checksum (MD5)
9c82b120430afd93180b45144dfabb4a
Author(s)
Hyun, Yoonsuk
Advisor(s)
James McKernan.
Date Issued
2011
Publisher
Massachusetts Institute of Technology
Abstract
In this thesis, we study the properties and the classification of embeddings of homogeneous spaces, especially the case of affine normal embeddings of reductive groups. We might guess that as in the case of toric varieties, some specific subset of one-parameter subgroups may contribute to the classification of affine embeddings of general reductive group. To check this, we review the theory of affine normal SL(2)-embeddings, and prove that the classification cannot be solved entirely based on one-parameter subgroups. We can also show that even though this set does not give a complete answer to the classification problem, but still contains useful information about varieties. We will also give examples of GL(2)- embeddings which had not previously been constructed in detail, which might be helpful in understanding the general classification of affine normal G-embeddings.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2011.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 63-65).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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