Timeline for Some special complex tori
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 16, 2013 at 7:23 | comment | added | abx | You probably mean $\frac{1}{2}g(g-1) $? If your lattice is $L$, you are looking for decompositions $L\otimes \Bbb{C}=V\oplus \bar{V}$, with $V$ totally isotropic for the extended quadratic form. The dimension of such isotropic spaces is $\frac{1}{2}g(g-1) $. | |
| Nov 16, 2013 at 4:27 | comment | added | Will Sawin | To construct such an abelian variety, you can take any integral lattice (so an integral vector space), tensor it with $\mathbb R$, and choose a complex structure agreeing with the Euclidean structure on that vector space. So for each integer lattice there is one connected moduli space of dimension $g(g-1)$. | |
| Nov 16, 2013 at 3:56 | answer | added | JHM | timeline score: 4 | |
| Nov 7, 2013 at 6:10 | history | asked | abx | CC BY-SA 3.0 |