Sequences of Enumerative Geometry: Congruences and Asymptotics

  title={Sequences of Enumerative Geometry: Congruences and Asymptotics},
  author={Daniel B. Gr{\"u}nberg and Pieter Moree and Don Zagier},
  journal={Experimental Mathematics},
  pages={409 - 426}
We study the integer sequence υn of numbers of lines in hypersurfaces of degree 2 n − 3 of ℙ n , n > 1. We prove a number of congruence properties of these numbers of several different types. Furthermore, the asymptotics of the υ n are described (in an appendix by Don Zagier). Finally, an attempt is made at carrying out a similar analysis for numbers of rational plane curves. 

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