K3 Surfaces, Igusa Cusp Form and String Theory

Abstract

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.

32 pages, AMS-LaTeX 1.2, some refs added, to appear in the proceedings of the Taniguchi symposium, ``Topological Field Theory, Primitive Forms and Related Topics'', Kyoto, December 9-13, 1996

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