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Please use this identifier to cite or link to this item: http://hdl.handle.net/10805/1169

Title: On gradients of odd Theta functions in genus 2 and related topics
Authors: FIORENTINO, ALESSIO
Tutor: Salvati Manni, Riccardo
Keywords: algebraic geometry
modular form
theta function
theta constant
theta gradient
Igusa
azy5
Siegel
symplectic group
compactification
Issue Date: 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.
Description: 100 pages
URI: http://hdl.handle.net/10805/1169
Research interests: Algebraic Geometry, Ergodic Theory
Appears in PhD:MATEMATICA

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