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Results tagged with ag.algebraic-geometry
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user 136971
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
Étale fibration for $K[[X_1,...,X_n]]$
A general ideal $\mathfrak P$ need not contain an element $f$ that is a polynomial in one of the variables. The existence of such an element $f$ is a strong restriction on the ideal $\mathfrak P$. An …
1
vote
Power series ring and monomials
No. For instance, take $n=\epsilon=1$, $p=2$. Then the only $\epsilon$-monomials are 1 and $X_1$ and the $2\epsilon$-monomials are 1, $X_1$, $X_1^2$ and $X_1^3$. Take $\alpha=\beta=X_1$, $x=y=X_1^2-X_ …
0
votes
Power series ring and monomials
This answer replacees my earlier, incorrect one. The answer is still "no", even if $x$ does not involve $\alpha$ and $y$ does not involve $\beta$. Example: take $n=2$, $p=3$, $\alpha=\beta=X_1^2X_2^8$ …