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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 views

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 …
Keenan Kidwell's user avatar
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
Keenan Kidwell's user avatar
11 votes
1 answer
2k views

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 …
Keenan Kidwell's user avatar
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 …
Keenan Kidwell's user avatar
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 …