Timeline for Historical proof of Leschetz Hyperplane Theorem
Current License: CC BY-SA 4.0
4 events
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| Apr 28, 2021 at 20:30 | history | edited | user267839 | CC BY-SA 4.0 |
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| Apr 28, 2021 at 20:26 | comment | added | user267839 | Thank you for the reference. The strategy in §5 (34) of this paper is quite similar. Essentially one important step there exploits that if we remove the point $\infty$ at infinity from $\mathbb{P}^1 \cong S^2$ then of couse $\mathbb{P}^1 - \infty$ retracts to $R:= \bigcup_{i=0}^N \overline{y_0 y_i}$ and the proof of this paper shows that the restricted lifts admit also such retraction. Maybe implicitely Griffiths assumed in the image above the infinity point also to be already removed, otherwise the second sentence below the graph in the image doesn't make any sense. | |
| Apr 28, 2021 at 19:38 | comment | added | Danny Ruberman | There is a nice exposition of Lefschetz's proof from a more modern point of view by Klaus Lamotke (Topology 20 (1981) 15-41.) I'm not sure if it directly addresses your questions but it is rather detailed and so perhaps it would be helpful. | |
| Apr 28, 2021 at 18:33 | history | asked | user267839 | CC BY-SA 4.0 |