Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congruence subgroup of the Siegel modular group related to the Theta gradient map in genus 2 are provided. A geometric construction involved is furthermore exploited to gain a different description for a notable generator appearing in a classic Igusa's sructure theorem for modular forms.
On gradients of odd Theta functions in genus 2 and related topics / Fiorentino, Alessio. - (2011).
On gradients of odd Theta functions in genus 2 and related topics
FIORENTINO, ALESSIO
01/01/2011
Abstract
Structure theorems for the ring of modular forms and the ideal of cusp forms with respect to a congruence subgroup of the Siegel modular group related to the Theta gradient map in genus 2 are provided. A geometric construction involved is furthermore exploited to gain a different description for a notable generator appearing in a classic Igusa's sructure theorem for modular forms.File allegati a questo prodotto
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