Timeline for which varieties can appear as exceptional divisors?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 30, 2013 at 14:46 | history | edited | eventually | CC BY-SA 3.0 |
(updated after Borisov answer)
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| Dec 28, 2013 at 13:26 | answer | added | Lev Borisov | timeline score: 4 | |
| Dec 23, 2013 at 16:39 | history | edited | eventually | CC BY-SA 3.0 |
edited title
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| Dec 23, 2013 at 16:28 | history | edited | eventually | CC BY-SA 3.0 |
added 269 characters in body
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| Dec 23, 2013 at 2:56 | comment | added | Sándor Kovács | Could you formulate your question more precisely? What exactly is the "similar picture" you're referring to? You could try to use some notation and give an "explicit description" (sic!) of your question... $\overset{..}\smile$ | |
| Dec 23, 2013 at 0:15 | comment | added | eventually | That is a good point! but my question is in another direction, because there are many different rational singularities with a $\mathbb{P}^1$ as exceptional divisor... I am wondering more about blowing ups of subschemes in $\mathbb{A}^n$ | |
| Dec 22, 2013 at 20:03 | comment | added | Mohammad Farajzadeh-Tehrani | Let $X$ be a smooth Fano toric variety. Let $K_X$ be the total space of canonical bundle of $X$. Then $X\subset K_X$ (zero section) is a "negative" divisor and can be blow-down into an isolated rational singularity. The case of $\mathbb{P}^n$ is a special case of this. | |
| Dec 22, 2013 at 16:15 | history | asked | eventually | CC BY-SA 3.0 |