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

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

1997-08-15

arxiv.org/abs/alg-geom/9708013v1

Mathematics

Algebraic Geometry

Scientific paper

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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