Erratum to: The superstring cosmological constant and the Schottky form in genus 5

We correct the mistake in the proof of Theorem 15 in our paper [3, AJM 133 (2011), no. 4]. The mistake is basically in that one term in the Taylor series expansion was forgotten, and to prove vanishing we need to treat the resulting expression more carefully. We would like to thank Giulio Codogni for detailed analysis of our argument and for pointing out the mistake to us, and we are grateful to Enrico Arbarello for stimulating discussions.