2 problems

Moraga's conjecture. These bounds should hold for faithful abelian $p$-group actions in odd dimensions, including when $\chi(X,\mathcal O_X)=0$.

Fix $n\in\mathbb{N}$ and a partition $\lambda=(n_1,\dots,n_r)$ of $n$, with $n_1\geq\cdots\geq n_r\geq1$, and define … For a finite abelian group $G$, let $\mathcal{F}(G)$ denote t…