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17h

comment 
Faltings height on pair $(\mathcal X,\mathcal D)$
Could you explain more precisely what you have in mind? 
Jan
10 
comment 
Which sheaves satisfy cohomological purity?
About this, see middle of p. 124 of the book by KiehlWeissauer on Weil Conjectures, Perverse sheaves etc. 
Sep
13 
awarded  Necromancer 
Aug
22 
awarded  Yearling 
Aug
3 
comment 
Is this kind of scheme integral?
For smthg related to your question, see Prop 4.3.8 p. 137 in Liu book (this shows eg that if you assume that $X$ is flat over $R$ and $X_\eta$ is integral, then so is $X$). 
Jun
25 
accepted  CM abelian varieties over the rationals 
Jun
25 
comment 
CM abelian varieties over the rationals
Nice answer... thank you for that. I wonder why this argument does not appear in any of the usual references for the theory of complex multiplication (unless I missed something ?). 
Jun
24 
asked  CM abelian varieties over the rationals 
Jun
17 
comment 
Projective bundle formula
(you means $X={\bf P}(E)$ in your formula) If $X$ is smooth and proper, then by Hodge decomposition the formula is the same as for singular cohomology (see GriffithsHarris, p. 606). If $X$ is smooth but not necessarily proper then the cohomology ring might be infinitedimensional. 
May
16 
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Reference request: Cohomology of Elliptic Curves
Why is the image of $\mu_\nu$ a normal subgroup of ${\rm Gal}(K^{\rm ab}K)$ ? Sorry if I missed something obvious. 
Apr
2 
comment 
Connected vs Irreducible Subvarieties
What about normality ? 
Feb
25 
comment 
A proper smooth surface is projective
Several classical references are given on II, §4, p. 105 of Hartshorne's book. 
Jan
25 
comment 
References for general HasseWeil zeta function
I do not know any other coherent reference than "facteurs locaux".... 
Jan
5 
comment 
automorphisms of local rings vs local change of coordinates
I think you haven't actually stated which two objects you want to coincide. 
Dec
14 
comment 
Quotient of a (nonlinear) algebraic group by a closed subgroup
Here is another reference: Raynaud, 'Passage au quotient par une relation d'équivalence plate', Proceedings of a conference on local fields (Driebergen, 1967), p. 82 Ex. a) (i). 
Nov
29 
comment 
Fermat's last theorem over larger fields
Sorry, your are right, Mazur's conjecture does not quite cover your question (but it gives a partial answer). The conjecture in ZarhinParshin corresponds precisely to what follows from MordellLang + Mazur's conjecture. 
Nov
28 
comment 
Fermat's last theorem over larger fields
See also ZarhinParshin, "Finiteness theorems...", p. 92 for a related conjecture (also made by Mazur). 
Nov
26 
comment 
How to see that this pairing of line bundles is multiplicative?
Do you want a canonical isomorphism (inv. under basechange) ? Or would you be happy with any isomorphism ? 
Nov
19 
accepted  On a proposition in Hartshorne's paper “Ample vector bundles on curves” 
Nov
16 
awarded  Nice Question 