Timeline for Varieties with few trisecant lines
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 2, 2022 at 18:37 | history | edited | Libli | CC BY-SA 4.0 |
Typos
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| Jul 2, 2022 at 18:36 | comment | added | Libli | There is a typo, sorry, it should be $-1$. I will edit. | |
| Jul 2, 2022 at 18:16 | comment | added | Puzzled | That does now answer to my question. I asked for varieties $X$ such that there is no trisecant line to $X$ through a general point $x\in X$. For instance a rational quartic curve contained in quadric surface in $\mathbb{P}^3$ has infinitely many trisecants and still its secant variety fills the ambient space. Also your numerical condition is satisfied for $N = 3$ and $n = 2$ but any line is trisecant to a surface $X\subset\mathbb{P}^3$ of degree $d\geq 3$. | |
| Jul 2, 2022 at 15:07 | history | edited | Libli | CC BY-SA 4.0 |
Typos
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| Jul 2, 2022 at 10:16 | history | answered | Libli | CC BY-SA 4.0 |