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Results tagged with reference-request
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user 70593
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
conditions on a morphism $f:X\rightarrow Y$ to ensure $X$ is reduced, given $Y$ is reduced?
In Lemma 1.4. of this article, it is proven that $f$ flat, $X$ pure dimensional and $Y$ irreducible ensures that $X$ is reduced in your case.
Maybe some of these requirments can be relaxed, I haven't …
- 1,025
4
votes
0
answers
330
views
Modules over an Azumaya algebra and modules over the associated Brauer-Severi variety
Assume $\mathcal{A}$ is an Azumaya algebra of rank $r^2$ on a smooth projective scheme $Y$ over $\mathbb{C}$. Let $f: X\rightarrow Y$ be the Brauer-Severi variety associated to $\mathcal{A}$.
I read …
- 1,025
4
votes
0
answers
484
views
Is the Gysin map in etale cohomology compatible with taking function fields?
Let $D\subset X$ be a smooth divisor on a smooth variety over $\mathbb{C}$.
Then we have Gysin maps in étale cohomology $H^2(X\backslash D,\mu_2)\rightarrow H^1(D,\mathbb{Z}/2)$ as well as $H^2(k(X), …
- 1,025
5
votes
1
answer
278
views
Are there primitive quartic CM fields whose norms of units give all totally positive units o...
Let $K$ be a primitive (i.e. not biquadratic) quartic CM-field. That is we have $[K:\mathbb{Q}]=4$ and let $K_0=\mathbb{Q}(\sqrt{d})$ be the totally real quadratic subfield, here $d> 1$, that is we ha …
- 1,025