Timeline for Period integrals of the fiber of elliptically fibered K3 manifolds
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2011 at 15:58 | comment | added | D. S. Park | Thanks for the kind response and references. I will be going through them. | |
| Mar 20, 2011 at 13:09 | comment | added | Remke Kloosterman | There are several further references for explicit calculation of Picard-Fuchs. E.g., there are papers by Peters, Beukers-Stienstra or Verrill. More recently explicit calculation of the (p-adic) PF equation is used by people in point count algorithm. There is a paper by Alan Lauder on average ranks of elliptic curves over function fields. This paper is based on algorithm that calculates solutions to the p-adic PF equation. | |
| Mar 18, 2011 at 18:08 | comment | added | D. S. Park | You are also right to point out that this problem can be formulated in terms of Picard-Fuchs equations. Actually the initial problem I was interested in was finding a solution to a Picard-Fuchs equation. This is the reformulated version of that problem. | |
| Mar 18, 2011 at 18:08 | comment | added | D. S. Park | Thanks for pointing out the error in the degree of f and g. I'm working on elliptically fibered CY3-folds over P2 as well and got mixed up there. (Your paper with Klaus Hulek on the Mordell-Weil rank of elliptic threefolds is quite useful in that work.) I also appreciate your pointing out that II fibers might be present. However, I would like to understand the case when we have 24 I1 fibers first. | |
| Mar 18, 2011 at 14:45 | history | edited | Remke Kloosterman | CC BY-SA 2.5 |
added 12 characters in body
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| Mar 18, 2011 at 14:13 | history | answered | Remke Kloosterman | CC BY-SA 2.5 |