2019/05/30 by Giovanni Felder, David Kazhdan, Felder, Giovanni +3 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Tensor decomposition and applications
paper · pdf · doi:10.48550/arxiv.1905.12805
openalex publication_date 2019/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The supermeasure whose integral is the genus g vacuum amplitude of superstring theory is potentially singular on the locus in the moduli space of supercurves where the corresponding even theta-characteristic has nontrivial sections. We show that the supermeasure is actually regular for g≤ 11. The result relies on the study of the superperiod map. We also show that the minimal power of the classical Schottky ideal that annihilates the image of the superperiod map is equal to g if g is odd and is equal to g or g-1 if g is even.