3 papers
math.AG2008
The loci of abelian varieties with points of high multiplicity on the theta divisor
Samuel Grushevsky, Riccardo Salvati Manni
We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate t…
math.NT2008★ 5 cited
On the image of code polynomials under theta map
Manabu Oura, Riccardo Salvati Manni
The theta map sends code polynomials into the ring of Siegel modular forms of even weights. Explicit description of the image is known for and the surjectivity of the the…
math.AG2007★ 5 cited
The modular variety of hyperelliptic curves of genus three
E. Freitag, R. Salvati Manni
The modular variety of non singular and complete hyperelliptic curves with level-two structure of genus 3 is a 5-dimensional quasi projective variety which admits several standard…