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Results tagged with schemes
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user 54268
The first purpose of schemes theory is the geometrical study of solutions of algebraic systems of equations, not only over the real/complex numbers, but also over integer numbers (and more generally over any commutative ring with 1). It was finalized by Alexandre Grothendieck, during the 1950s and the 1960s.
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votes
Weil restriction
This is false whenever $G \ne 1$ is either a split torus or connected semisimple and absolutely simple with $Y \ne X$. By passing to generic fiber over $X$, it suffices to show that if $K'/K$ is a fi …
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