Normal Factorization in $SL(2,Z)$ and the Confluence of Singular Fibers in Elliptic Fibrations

Details Normal Factorization in $SL(2,Z)$ and the Confluence of Singular Fibers in Elliptic Fibrations Normal Factorization in $SL(2,Z)$ and the Confluence of Singular Fibers in Elliptic Fibrations

2008-01-31

arxiv.org/abs/0802.0005v1

Mathematics

Algebraic Geometry

20 pages, no figures

Scientific paper

In this article we obtain a result about the uniqueness of factorization in
terms of conjugates of the matrix $U=(\xymatrix{1 & 1 0 & 1})$, of some
matrices representing the conjugacy classes of those elements of $SL(2,Z)$
arising as the monodromy around a singular fiber in an elliptic fibration (i.e.
those matrices that appear in Kodaira's list).

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