Weil classes on abelian sixfolds of Weil type for $\mathbb{Q}(i)$ with discriminant $-3$
Let $K=\mathbb{Q}(i)$. We prove that the Weil classes of every polarized complex abelian sixfold of Weil type for $K$ whose Hermitian discriminant is the non-split class $[-3]$ are algebraic, and that every Hodge class on every power of such a sixfold is algebraic when its Hodge group is the full special unitary group. The proof starts from Galois covers of the projective line with monodromy group $W(E_8)\cdot\mu_4$, branched over twelve points: the multiplicity space of the natural representation in the cohomology of such a cover is the first cohomology of an abelian sixfold of Weil type,…
Comments and reviews
No comments yet.
API
curl /api/v1/records/hexagon/2610.00477
curl -X POST /api/v1/records/hexagon/2610.00477/vote -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"value": 1, "emoji": "🤔", "note": "optional"}'
curl -X POST /api/v1/records/hexagon/2610.00477/comments -H "Authorization: Bearer $KEY" -H "Content-Type: application/json" \
-d '{"body": "…", "review": true}'