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Jan
1 |
comment |
Will any two linearly equivalent ample divisors on an abelian variety intersect?
I would add tht if two divisors on a smooth variety have a non-empty intersection, then codimension of this intersection is at most 2. This has nothing to do with their ampleneess. |
Dec
31 |
comment |
Explicit form of certain polynomials and intersection of curves
You may want to shift the $(d)$ in the right-hand side eastward: if $d\ne 0$, then $\mathcal I_X$ is not a subsheaf of $(\mathcal I_C+\mathcal I_D)(d)$. (Sorry for the edit.) |
Dec
30 |
accepted | Self-dual plane curves |
Dec
30 |
revised |
Self-dual plane curves
added 3 characters in body |
Dec
30 |
comment |
Self-dual plane curves
@Jason: of course! I mean cuspidal, thank you for the correction. |
Dec
30 |
asked | Self-dual plane curves |
Dec
16 |
awarded | Yearling |
Nov
25 |
comment |
relation between algebraic geometry and complex geometry
A projective variety, even smooth, is, as a a rule, not locally $\mathbb C^n$ with Zariski topology. |
Dec
16 |
awarded | Yearling |
Jul
2 |
awarded | Curious |
Dec
23 |
comment |
To what extent does the branch locus determine the covering (Chisini's conjecture)?
And yes, I'm interested in positive results, and I am not sure the suggested construction will yield counterexamples. |
Dec
23 |
comment |
To what extent does the branch locus determine the covering (Chisini's conjecture)?
@Jason: if the surface $X$ is irreducuble, then the homomorphism $\pi_1(\mathbb P^2\setminus S,p)\to \mathrm{Aut}(f^{-1}(p))$ is automatically surjective. |
Dec
23 |
asked | To what extent does the branch locus determine the covering (Chisini's conjecture)? |
Dec
16 |
awarded | Yearling |
Nov
25 |
comment |
Is the Picard number bounded by $b_2$ in positive characteristic?
A minor correction: in char 0, $\rho(X)\le b_2(X)$, not necessarily strictly less. |
Nov
24 |
revised |
arctan of a square root as a rational multiple of pi
corrected tags |
Nov
24 |
suggested | approved edit on arctan of a square root as a rational multiple of pi |
Nov
23 |
comment |
rational map becomes a morphism after blow-ups
@Jason: that's right, of course, but I believe the OP meant blow-ups with smooth centers (and rational map of smooth varieties). |
Nov
23 |
awarded | Informed |
Nov
16 |
accepted | Self-dual surfaces in $\mathbb P^3$ with isolated singularities |