K3 Surfaces, Igusa Cusp Form and String Theory

Physics – High Energy Physics – High Energy Physics - Theory

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32 pages, AMS-LaTeX 1.2, some refs added, to appear in the proceedings of the Taniguchi symposium, ``Topological Field Theory,

Scientific paper

It has recently become apparent that the elliptic genera of K3 surfaces (and
their symmetric products) are intimately related to the Igusa cusp form of
weight ten. In this contribution, I survey this connection with an emphasis on
string theoretic viewpoints.

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