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arXiv · 1709.03518

An observation on (-1)-curves on rational surfaces

Olivia Dumitrescu·Brian Osserman
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Abstract

We give an effective iterative characterization of the classes of (smooth, rational) (-1)-curves on the blowup of the projective plane at general points. Such classes are characterized as having self-intersection -1, arithmetic genus 0, and intersecting every (-1)-curve of smaller degree nonnegatively.

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Olivia Dumitrescu, Brian Osserman. 2017-09-11. An observation on (-1)-curves on rational surfaces. https://arxiv.org/abs/1709.03518

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