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Results tagged with ac.commutative-algebra
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user 74027
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
3
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Do discrete valuation rings correspond to local rings of points in fibre?
Given projective curves $C$ and $C'$ and a surjective morphism $\varphi\colon C\to C'$, such that $Q\in C'$ is a smooth point and its fibre $\varphi^{-1}(Q)$ consists of smooth points.
Then $\mathcal …
- 163
0
votes
Do discrete valuation rings correspond to local rings of points in fibre?
Answering my own question is weird to me, but still, I have come to this point (and still need some help):
Lemma 1 Let $F\subset F'$ be function fields (i.e. finite algebraic extensions of $k(X)$) ov …
- 163