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Results tagged with ag.algebraic-geometry
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user 76299
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
9
votes
0
answers
355
views
"Generalized theory of polynomials" for a given commutative Lawvere Theory
I am trying to understand
Nikolai Durov's "New Approach to Arakelov Geometry" right now and it got me thinking about a particular thing.
Let $R$ be a commutative, associative ring with unit. We can …
- 2,303
29
votes
2
answers
4k
views
The philosophy behind local rings
This question has been bugging me for a while and I can't seem to make sense of it on a clear conceptual level.
The theory of local rings is given by taking the theory of rings and adding the axioms
…
- 2,303
25
votes
1
answer
2k
views
A geometric theory of Blueprints? (Algebras over the field with one element)
In my attempt to tackle the various approaches of defining algebraic geometry over $\mathbb F_1$, I was just reading through Lorscheid's paper The geometry of blueprints. I certainly like the idea a l …
- 2,303