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Results tagged with dg.differential-geometry
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user 46464
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
6
votes
1
answer
671
views
Explicit Kodaira-Spencer map of hyperelliptic curves
Let $g\geq 2$, and $$\mathcal T=\{(t_1,\cdots,t_{2g+2})~|~t_i\neq t_j,\forall i\neq j\}.$$
For any $t=(t_1,\cdots,t_{2g+2})\in \mathcal T$, let
$$Y_t=\left\{y^2=\prod_{i=1}^{2g+2}(x-t_i)\right\}.$$
Th …
- 288
6
votes
0
answers
488
views
Global sections for a locally free sheaf over curves
Let $B$ be a complete algbraic curve of genus $g$, and $\mathcal{E}$ be a semi-stable locally free sheaf of rank $r$ over $B$. Assume that the slope of $\mathcal{E}$ is $\mu(\mathcal E):=\frac{\deg \m …
- 288