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Dec
27
accepted Rational points on towers of curves
Dec
27
comment Rational points on towers of curves
(Though, of course, your construction shows that $X_i(K)$ is nonempty.)
Dec
27
comment Rational points on towers of curves
Thanks! I don't understand why $|X_i(K)| = n\cdot |X_{i-1}(K)|$. For example, if $X_0 = E$ (forgetting $g(X_n)>1$ for now) is an elliptic curve with $E(K)$ finite, we get $X_i = E$ and so $|E(K)| = n\cdot |E(K)|$, contradiction.
Dec
27
asked Rational points on towers of curves
Nov
17
revised Pushforward of line bundle under “toric isogeny”
added 114 characters in body
Nov
17
revised Pushforward of line bundle under “toric isogeny”
added 373 characters in body
Nov
17
revised Pushforward of line bundle under “toric isogeny”
added 373 characters in body
Nov
17
answered Pushforward of line bundle under “toric isogeny”
Oct
14
reviewed Approve Griffiths and Harris reference
Oct
11
comment Twisting locally free sheaves in characteristic $p$
And how is the positive characteristic assumption relevant? Do you know the answer to your question in characteristic zero?
Oct
11
comment Twisting locally free sheaves in characteristic $p$
I don't understand your question. How about $E'=L$? The determinant of $E\otimes L'$ is $(\det E) \otimes L'^{rk(E)}$, which implies $\pi^* L'^{rk(E)} \cong \mathcal{O}_{\tilde X}$.
Oct
5
reviewed Approve $dd^\mathbb{C}$-lemma on pair $(X,D)$
Aug
31
revised Unibranch partial normalization
changed link to point to arxiv abstract page rather than directly to pdf
Jul
26
comment Relationship between étale and topological $K(\pi,1)$s
I agree. I think I've seen "good group in the sense of Serre" somewhere before.
Jul
26
revised Relationship between étale and topological $K(\pi,1)$s
added 54 characters in body
Jul
26
answered Relationship between étale and topological $K(\pi,1)$s
Jul
26
comment Relationship between étale and topological $K(\pi,1)$s
I think you need to use the orbifold fundamental group of the moduli space (fundamental group of the stack), correct?
Jun
3
awarded  Pundit
Jun
3
comment The unpublished papers in reference to the published papers
I'm against this question being closed. To quote the Help Center, MO questions should be "the sorts of questions you come across when you're writing or reading articles or graduate level books" and "well-defined," which perfectly applies here.
May
1
comment Action of automorphisms on cohomology with supports
Another comment: If $f:X\to X$ is an isomorphism, then $H^n_x(X, f^*(-))$ form a universal $\delta$-functor. The system of maps $f^* : H^n_x(X, -)\to H^n_x(X, f^*(-))$ forms a map between two universal $\delta$-functors, so it suffices to check whether $f^*:H^0_x(X, -)\to H^0_x(X, f^*(-))$ is an isomorphism.