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

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

2011-10-10

arxiv.org/abs/1110.1997v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

The modular form $(azy)_5$ 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.

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