bio | website | math.wisc.edu/~ellenber |
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location | ||
age | ||
visits | member for | 4 years, 11 months |
seen | 8 hours ago | |
stats | profile views | 8,864 |
Sep 2 |
awarded | Popular Question |
Sep 2 |
awarded | Nice Question |
Aug 26 |
comment |
Non-hyperelliptic families of curves with trivial Ceresa class (or Gross-Schoen class)
My student Lalit Jain pointed out to me the paper "The Griffiths Infinitesimal Invariant for a Curve in its Jacobian," by Collino and Pirola, which shows that a family of genus-g curves whose codimension in M_g is less than ~g/3 has nontrivial Ceresa. So that's something! |
Aug 22 |
comment |
Non-hyperelliptic families of curves with trivial Ceresa class (or Gross-Schoen class)
Wait so I'm completely unaware that it's "generally believed" that non-hyperelliptic curves have non-torsion Ceresa cycle -- who believes this, have they written down why they believe it, etc.? |
Aug 21 |
comment |
Non-hyperelliptic families of curves with trivial Ceresa class (or Gross-Schoen class)
I just mean etale cohomology -- I suppose this is "really" a motivic question but I don't think I need to invoke anything of that kind to get at what I'm interested in. |
Aug 21 |
asked | Non-hyperelliptic families of curves with trivial Ceresa class (or Gross-Schoen class) |
Aug 1 |
awarded | Famous Question |
Jul 29 |
awarded | Nice Answer |
Jul 21 |
revised |
Constructing quintic number fields with certain splitting behaviour
added 418 characters in body |
Jul 21 |
answered | Constructing quintic number fields with certain splitting behaviour |
Jul 8 |
awarded | Nice Answer |
Jul 2 |
awarded | Curious |
Jun 18 |
awarded | Nice Answer |
May 16 |
answered | Motives over finite field not generated by hyperelliptic curves |
Apr 29 |
comment |
Argument for unboundedness of integral points of elliptic curves over number fields
Oh I see. But if that's what joro was asking, I don't see how his construction gives any hint of how to get unbounded rank over a fixed K. |
Apr 28 |
comment |
Argument for unboundedness of integral points of elliptic curves over number fields
It should do. Just take your r points defined over disjoint quadratic fields, whose compositum is K; the MW rank over THAT field is finite, so you can certainly choose an integer x such that (sqrt(f(x))) generates a further quadratic extension of K, then you have rank r+1 and you just keep going. |
Apr 28 |
answered | How many solutions to $2^a + 3^b = 2^c + 3^d$? |
Apr 28 |
answered | Argument for unboundedness of integral points of elliptic curves over number fields |
Apr 7 |
awarded | Good Answer |
Feb 24 |
comment |
What can we learn from the tropicalization of an algebraic variety?
Actually, I find Dustin Cartwright's work on the higher-dimensional case very convincing. |