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Results tagged with reference-request
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user 76409
This tag is used if a reference is needed in a paper or textbook on a specific result.
11
votes
1
answer
1k
views
Relationship between the syntomic cohomology of Kato and of Fontaine-Messing
Fix a prime $p$ and let $X$ be a $\mathbb{Z}_{p}$-scheme. Write $X_{n}:=X\otimes\mathbb{Z}/p^{n}$ and $\phi:X_{1}\rightarrow X_{1}$ for the absolute Frobenius. Let $X\hookrightarrow Z$ be a (suitable) …
- 1,404
8
votes
Accepted
Reference request: good reduction equivalent to crystalline étale cohomology
As Satan's Minion says, the good reduction case is
R. Coleman, A. Iovita, The Frobenius and monodromy operators for curves and abelian varieties, Duke Math. J. 97 (1999), 171--215.
For the semistable …
- 1,404
7
votes
Accepted
Training towards research on k3 surfaces
Likely this should only be a comment, but I don't have enough reputation for that...
J.C. Ottem has provided a wonderful reference about the basics of K3 surfaces in his comment. It's my personal exp …
- 1,404
6
votes
Accepted
Relationship between the syntomic cohomology of Kato and of Fontaine-Messing
Ok, maybe I've figured this out. Hopefully somebody can correct me if this is wrong. Also, I'd still like to know a reference that writes this out in detail, if anybody has one.
I'll change the notat …
- 1,404
6
votes
Accepted
Original proof of Lefschetz's theorem on $(1,1)$ classes
I like chapter 6 of
Lewis, James D. A survey of the Hodge conjecture,
Second edition, Appendix B by B. Brent Gordon, CRM Monogr. Ser., 10, American Mathematical Society, Providence, RI, 1999.
It has l …
- 1,404
2
votes
Accepted
Norm/transfer functoriality of Bloch map on $K$-theory
This answer just amounts to adding a reference to Marc Hoyois' comment: there is a discussion of precisely this on pages 393-394 in Scholl's An introduction to Kato's Euler systems, London Math. Soc. …
- 1,404
2
votes
Accepted
Reference request: generalized Jacobian variety for higher dimensional variety
Posting my comment as an answer:
See the top of page 216 in S. Zucker, Generalized intermediate Jacobians and the theorem on normal functions, Invent. Math. 33 (1976), no.3, 185–222. Note that Zucker …
- 1,404