Timeline for Homology of algebraic varieties in Okounkov's paper on enumerating algebraic curves
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| May 6, 2010 at 17:29 | comment | added | John Jiang | Thank you. I guess I really need to learn more about divisors in projective varieties before looking at these papers. But my hope is to make some of this stuff accessible to probabilists, as it seems pretty fertile ground for probability problems. | |
| May 5, 2010 at 19:31 | comment | added | Ilya Nikokoshev | Not really: you can't get all divisors that way. That's a fascinating story you can search for in courses and textbooks on something like "algebraic geometry" or "geometry of surfaces". | |
| May 4, 2010 at 4:48 | comment | added | John Jiang | So does that mean H can be any divisor of X? | |
| May 4, 2010 at 4:13 | comment | added | Ilya Nikokoshev | That should be $X\cap H$ above. | |
| May 4, 2010 at 4:13 | comment | added | Ilya Nikokoshev | Every time you have $X$ in projective space, you have a divisor $X\cup H$ on $X$ where $H$ is a hyperplane... Take a look at any book on projective varieties. | |
| May 3, 2010 at 23:48 | comment | added | John Jiang | Hi Ilya, thanks for all the explanations! Regarding question 2, I am still not getting the point of hyperplane sections. Maybe you could explain in a bit more layman's term? For example in a way that an analyst could understand. | |
| May 3, 2010 at 18:22 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |