Timeline for When is the space of holomorphic sections of the tensor product of two line bundles given by the span of the tensor product of the basis?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2018 at 21:19 | comment | added | meh | @ Ritwik Sorry, bpf = base point free as Roy says. The first reference I found on the web for the lemma is math.lsa.umich.edu/~mmustata/hw9.pdf which gives an application of the sort you are looking for. | |
| Jun 10, 2018 at 19:33 | comment | added | roy smith | base point free, I believe. | |
| Jun 10, 2018 at 18:21 | comment | added | Ritwik | @aginensky: What is bpf? | |
| Jun 10, 2018 at 16:11 | comment | added | meh | easier to see :) | |
| Jun 10, 2018 at 16:00 | comment | added | meh | I would add to what Mohan, a man of inestimable reputation, said. For curves one can sometimes use the bpf pencil trick. That is if $L_1$ is bpf, then the vanishing of of $H^1(L_2 \otimes L_1^{-1} ) $ is a sufficient criteria. Of course S doesn't have to be a curve for this criteria to be true, but for curves that vanishing is usually easy to see. | |
| Jun 10, 2018 at 15:44 | history | answered | Mohan | CC BY-SA 4.0 |