Timeline for Moduli of parabolic bundles of rank two on ℙ¹
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| May 29, 2022 at 8:41 | comment | added | john | thanks for the explanation and references. | |
| May 28, 2022 at 20:08 | history | edited | Puzzled | CC BY-SA 4.0 |
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| May 28, 2022 at 20:02 | comment | added | Puzzled | No, it is not a blow down. There is a birational map between the two which is an isomorphism in condimension one. You have to flip several subvarieties of $X_n^{n-3}$ to reach $M_{(\frac{1}{2},\dots,frac{1}{2})}$. These subvarities are basically cones over secant varieties of the degree $n-3$ rational curve through the $n$ blownup points. I will add some references in my answer. | |
| May 28, 2022 at 18:12 | comment | added | john | thanks..could this be made more precise,i.e. is $M_{1/2,...1/2}$ a blow down of $X^{n-3}_n$, along a variety $S$, and what is $S$ ? | |
| May 28, 2022 at 17:31 | history | answered | Puzzled | CC BY-SA 4.0 |