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This tag is used if a reference is needed in a paper or textbook on a specific result.
4
votes
0
answers
386
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Is there a reference that treats principal homogeneous spaces for (say) group varieties usin...
I was wondering if anyone could recommend a reference that discusses principal homogeneous spaces for general finite type group schemes over a field $k$ entirely in the language of schemes (or even ju …
6
votes
Scheme-theoretic account of why every variety embeds in a complete variety
Brian Conrad has a writeup on this:
http://math.stanford.edu/~conrad/papers/nagatafinal.pdf
11
votes
1
answer
2k
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Where in the literature does the anticyclotomic $\mathbf{Z}_p$-extension of an imaginary qua...
If $K$ is an imaginary quadratic field, then the $\mathbf{Z}_p$-rank of $K$ is $2$, meaning that the Galois group of the compositum of all the $\mathbf{Z}_p$-extensions of $K$ in an algebraic closure …
23
votes
Roadmap for studying arithmetic geometry
If you can find a (say, library) copy of Cornell and Silverman's Arithmetic Geometry I would highly recommend it. It is a comprehensive treatment of the arithmetic theory of abelian varieties using th …
6
votes
Accepted
Place stabilizers for the absolute Galois Group
If $p$ is a rational prime, then choosing a prime $v$ of $\overline{\mathbf{Q}}$ lying over $p$ amounts to choosing an embedding $i:\overline{\mathbf{Q}}\hookrightarrow\overline{\mathbf{Q}}_p$. This g …
5
votes
Textbook recommendations for undergraduate proof-writing class
http://www.amazon.com/How-Prove-Structured-Daniel-Velleman/dp/0521675995/ref=sr_1_1?ie=UTF8&qid=1303491885&sr=8-1
This text was used in the "Math Structures" class at my undergraduate institution (ba …