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Results tagged with schemes
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user 100
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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What are the Benefits of Using Algebraic Spaces over Schemes?
One of them was answered in response to question 1558 on when quotients of schemes by free group actions exist. When the group is finite, they exist as algebraic spaces. … But, there are examples where they do not exist as schemes. So, being closed under quotients by free finite group actions is certainly nice. …
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