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Timeline for Explicit algebraic cycles

Current License: CC BY-SA 3.0

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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