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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

3 votes
0 answers
260 views

Do these Zariski-dense subgroups of $\operatorname{SO}_{6}(\mathbb C)$ have non-empty inters...

Let $G\leq \operatorname{SO}_{6}(\mathbb Z)$ be a finite-index normal subgroup, so it's a Zariski dense subgroup of $\operatorname{SO}_{6}(\mathbb C)$; and let $H$ be the subset of $\operatorname{SO}_ …
Ami's user avatar
  • 71
4 votes
0 answers
230 views

Do these Zariski-dense subgroups of complex Chevalley group have non-empty intersection with...

Let $G$ be a complex Chevalley group (not necessarily adjoint type) with $\operatorname{\mathbb{C}-rank}\geq2$ and let $H$ be a normal subgroup of $G(\mathbb Z)$ with a finite index (so $H$ is Zariski …
Ami's user avatar
  • 71