Timeline for Explicit algebraic cycles
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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Dec 4, 2017 at 14:37 | comment | added | Pooter | I would also like to give the example of cubic fourfolds in $\mathbf P^5$, which generically have $h^{2,2}=1$ but acquire extra integral classes when the fourfold contains a surface which is not a complete intersection. Whether such containment is a "reasonably geometric" condition on the polynomial defining the variety is open to debate. | |
Dec 1, 2017 at 20:07 | review | First posts | |||
Dec 1, 2017 at 20:18 | |||||
Dec 1, 2017 at 20:04 | comment | added | Jason Starr | Smooth hypersurfaces in $\mathbb{P}^3$ of degree $d\geq 4$ have "extra" integral $(1,1)$-classes whenver the surface contains a specified curve in projective space of degree not divisible by $d$, e.g., when it contains a line. | |
Dec 1, 2017 at 20:03 | history | asked | Freja | CC BY-SA 3.0 |