3 problems

Dixmier–Moeglin conjecture for pointed Hopf algebras. The following conditions are equivalent:

Let $H$ be an affine noetherian pointed Hopf $\mathbb{C}$-algebra, and let $G(H)$ denote its group of grouplike elements. The pointed Dixmier–Moeglin equivalence conjecture. The fo…

Let $X$ be a projective $k$-scheme of any dimension, let $\sigma:X\to X$ be an automorphism, let $\mathcal{L}$ be a $\sigma$-ample invertible sheaf, and let…