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Correction to "Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series"

Jan Hendrik Bruinier, Martin Raum

Abstract

We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.

Correction to "Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series"

Abstract

We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.

Paper Structure

This paper contains 2 sections, 5 theorems, 23 equations.

Table of Contents

  1. Required corrections
  2. Pointwise convergence at torsion points

Key Result

Lemma 1.1

Let $W\subset \mathbb{C}^N$ be a simply connected domain. Let $Q(\tau,X)\in \mathcal{O}(W)[X]$ be a monic irreducible polynomial which is normal over the quotient field of $\mathcal{O}(W)$, and denote its discriminant by $\Delta_Q\in \mathcal{O}(W)$. Let $V\subset W$ be a connected open subset that

Theorems & Definitions (10)

  • Lemma 1.1
  • Theorem 1.2
  • proof : Proof of Theorem \ref{['thm:establish-holmorphicity-new']}
  • Remark 1.3
  • Proposition 2.1
  • proof
  • Corollary 2.2
  • proof
  • Proposition 2.3
  • proof