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arXiv · 2006.14589

Incident rational curves

Ziv Ran
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Abstract

We study families of rational curves on an algebraic variety satisfying incidence conditions. We prove an analogue of bend-and-break: that is, we show that under suitable conditions, such a family must contain reducibles. In the case of curves in $\P^n$ incident to certain complete intersections, we prove the family is irreducible.

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Ziv Ran. 2020-06-25. Incident rational curves. https://doi.org/10.1007/s40879-020-00407-y

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