Timeline for Geometric meaning of coherent sheaves $\mathcal{F} \otimes \mathcal{O}_{\mathbb{P}^n}(d)$ over $\mathbb{P}^n$

12 events

when toggle format	what		by	license	comment
Aug 6, 2021 at 8:12	history	rollback	Johannes Hahn		Rollback to Revision 9
Aug 6, 2021 at 7:56	history	edited	user122276	CC BY-SA 4.0	deleted 3589 characters in body
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Jun 16, 2021 at 14:57	history	edited	user122276	CC BY-SA 4.0	added 636 characters in body
Jun 16, 2021 at 14:47	comment	added	gigi		Thank you very much for your answer! My problem, sorry for not having specified it, is with $\mathbb{P}^n$ for which $n \geq 2$. In the case of $\mathbb{P}^1$, as you have observed, the tangent bundle is a line bundle itself, so everything is deducible from the "geometry of divisors". Where $n \geq 2$ then the tangent bundle is no more a line bundle and so I'm not able to see how to relate its twist with, for example, properties of vector fields.
Jun 16, 2021 at 14:38	history	answered	user122276	CC BY-SA 4.0