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Results tagged with schemes
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user 120592
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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Recovering the Zariski topology from the Zariski topology over an extension
Let $A$ be a finitely generated $k$-algebra, and let $K$ be the algebraic
closure of $k$. I explain how to recover $spec(A)$ from $spec(A\otimes K)$.
Equivalently, I explain how to recover $spm(A)$ fr …
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