Van Geemen's families of lines on special quintic threefolds |
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| Authors: | Alberto Albano Sheldon Katz |
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| Institution: | (1) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy;(2) Department of Mathematics, Oklahoma State University, 74078 Stillwater, OK, U.S.A. |
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| Abstract: | We study the families of lines on the quintic threefolds of the pencilx
0
5
+x
1
5
+x
2
5
+x
3
5
+x
4
5
-5tx
0
x
1
x
2
x
3
x
4=0. We show that on the generic threefold of the pencil there exists a 1-dimensional family of lines that is not a cone.
Partially supported by funds M.P.I. |
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| Keywords: | |
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