Timeline for Intersecton form of complete smooth Toric surface
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 20, 2022 at 13:29 | comment | added | Nick L | I would like to point out that from an algebraic view point the intersection forms that appear are extremely restricted. There is the intersection form of $S^2 \times S^2$ $(a,b).(c,d) = ad+bc$ which is the only even form which appears. All the rest are direct sum of one copy of the standard positive Euclidean form and some number of copies of the negative standard Euclidean form. (that is the intersection form of the blow up of $\mathbb{CP}^2$ in $k$ points). So, if the toric surface has $b_2>2$ then the intersection form is determined up to isomorphism by $b_2$. | |
| Aug 17, 2022 at 0:16 | vote | accept | 6666 | ||
| Aug 16, 2022 at 8:03 | answer | added | Sasha | timeline score: 6 | |
| Aug 15, 2022 at 22:11 | comment | added | R. van Dobben de Bruyn | Have a look at Fulton's Introduction to toric varieties, §5.2. | |
| Aug 15, 2022 at 21:25 | history | asked | 6666 | CC BY-SA 4.0 |