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Results tagged with torus-action
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user 18060
4
votes
Projective line as a quotient by a torus
$\mathbb P^1$ viewed as a toric variety has $3$ orbits. If we take a quotient of a $n+1$-dimensional toric variety by an $n$-dimensional subtorus of its torus, the number of orbits does not change, so …
- 148k
16
votes
Accepted
Classification of Tori of GL2, up to conjugation
In general, a group that is isomorphic to a $d$-dimensional torus over the algebraic closure of the ground field can be identified by the action of the Galois group on its character group / group of o …
- 148k