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Bend, break and count II : elliptics, cuspidals, linear genera

Ziv Ran
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Abstract

Extending the method of Part I (alg-geom/9704004), we give recursive formulae for: the genus-1 Severi degree (formula first found by Getzler), the degree of the variety of 1-cuspidal curves of genus 0 or 1, and the linear (sectional) geometric genus of the genus-0 and genus-1 Severi varieties. The proof is short and elementary.

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Ziv Ran. 1997-08-15. Bend, break and count II : elliptics, cuspidals, linear genera. https://arxiv.org/abs/alg-geom/9708013

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