English

A new geometric description for Igusa's modular form $(azy)_5$

Algebraic Geometry 2016-12-08 v1

Abstract

The modular form (azy)5(azy)_5 notably appears in one of Igusa's classic structure theorems as a generator of the ring of full modular forms in genus 2, being exhibited by means of a complicated algebraic expression. In this work a different description for this modular form is provided by resorting to a peculiar geometrical approach.

Cite

@article{arxiv.1110.1997,
  title  = {A new geometric description for Igusa's modular form $(azy)_5$},
  author = {Alessio Fiorentino},
  journal= {arXiv preprint arXiv:1110.1997},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-21T19:17:47.379Z