The study of geometric objects defined by polynomial equations, as well as their generalizations: algebraic curves, such as elliptic curves, and more generally algebraic varieties, schemes, etc. Problems under this tag typically involve techniques of abstract algebra or complex-analytic methods. ...

learn more… | top users | synonyms (1)

1
vote
0answers
82 views
+300

Does this proof (Lie-Kolchin) suffer from a loss of injectivity?

In the following proof (after "But there is a more elementary proof"), I was confused on something. Apparently we can assume without loss of generality that $V = V_{\chi}$. In this case, here is ...