bio | website | abhinav-kumar.weebly.com |
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location | ||
age | ||
visits | member for | 5 years, 4 months |
seen | 21 hours ago | |
stats | profile views | 1,170 |
Mar 29 |
reviewed | Approve Functions on hyperbolic space and modular curves |
Mar 21 |
reviewed | Approve Injective dimension of cyclic modules |
Mar 20 |
reviewed | Approve Commutation of tensor products with inverse limits in a specific case |
Mar 14 |
answered | A question on polynomial heights |
Dec 19 |
awarded | Yearling |
Nov 27 |
reviewed | Approve Isomorphism problem for two radical extensions |
Nov 26 |
reviewed | Approve Simplifying triangulations of 3-manifolds |
Oct 9 |
answered | When the contraction is a morphism defined over $\overline{\mathbb Q}$ |
Jul 31 |
comment |
K3 surfaces that correspond to rational points of elliptic curves
@LevBorisov Are you aware of the work of Kudla and recent work of Darmon and others? It might have some connection to what you're looking for. |
Jul 30 |
comment |
K3 surfaces that correspond to rational points of elliptic curves
The field of definition of the point $P$ on $X_0(n)^+$ should probably correspond to the field of the definition of the corresponding divisor on the K3 surface. So saying that it comes from a $\bf{Q}$ point just means that the Picard group of the K3 can be fully realized over a small degree number field (here, probably the $2$-torsion field of the elliptic curves). |
Jul 30 |
comment |
K3 surfaces that correspond to rational points of elliptic curves
It seems that the K3 is not the Kummer, but is is a double cover (i.e. related by a Shioda-Inose structure to the product abelian surface). See theorem 7.6 of that paper. |
May 9 |
comment |
Elliptic surfaces with different Kodaira symbols
At least in characteristic not 2 or 3 this is impossible: the elliptic fibration is unique for Kodaira dimension 1. For char 2 or 3 you may have to consider quasi-elliptic fibrations, and I haven't thought through it. |
May 8 |
answered | Lattice polarized K3 surfaces |
May 8 |
comment |
Lattice polarized K3 surfaces
No, the Picard rank can be anywhere between 1 and 20, for a lattice polarized K3 surface. |
Mar 28 |
reviewed | Approve On a particular case of the ``Tumura-Hayman" theorem : |
Jan 30 |
reviewed | Reject Cohomology after completion |
Jan 16 |
comment |
Commutativity of convex hulls and closed balls
I believe I now have a counterexample - see above. |
Jan 16 |
revised |
Commutativity of convex hulls and closed balls
added 1351 characters in body |
Jan 15 |
answered | Commutativity of convex hulls and closed balls |
Jan 14 |
awarded | Good Question |