Timeline for Abelian Variety and Tangent Bundle ----Reference Request
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2012 at 9:13 | comment | added | Martin Brandenburg | The paper "essentially finite vector bundles on varieties with trivial vector bundle" (by Biswas, Parameswaran, Subramanian) says more about what happens in positive characteristic. | |
| Oct 3, 2011 at 6:31 | vote | accept | yuvi | ||
| Aug 27, 2011 at 16:54 | comment | added | Christian Liedtke | However, the converse is false in positive characteristic: Igusa has given an example of a variety with trivial tangent bundle in characteristic $2$ that is not an Abelian variety: it arises as $(E\times E')/({\mathbb{Z}/2\mathbb{Z})$, where $E$ and $E'$ are elliptic curves, and the group $\mathbb{Z}/2\mathbb{Z}$ acts via sign involution on one factor and via translation of a $2$-torsion point on the other factor. | |
| Aug 27, 2011 at 14:09 | history | answered | Igor Rivin | CC BY-SA 3.0 |