# singularities $\mathcal{A}_{g,d}$ in positive characteristic

Hi,

I would like to understand the singularities of the moduli spaces of abelian varieties with polarization of degree $d>1$ in characteristic $p>0$ when $p|d$. Do you know some good references?

Thanks

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Jeff Achter's thesis might be useful to you. You can find it here: math.upenn.edu/~chai/theses/jeff_thesis.pdf – Keerthi Madapusi Pera Dec 4 '11 at 3:46