BCOV ring and holomorphic anomaly equation

Mathematics – Algebraic Geometry

Scientific paper

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24 pages. v2, typos corrected. To appear in Advanced Studies in Pure Mathematics, "New developments in Algebraic Geometry, Int

Scientific paper

We study certain differential rings over the moduli space of Calabi-Yau
manifolds. In the case of an elliptic curve, we observe a close relation to the
differential ring of quasi-modular forms due to Kaneko and Zagier.

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