English

On one example and one counterexample in counting rational points on graph hypersurfaces

Algebraic Geometry 2015-05-19 v1

Abstract

In this paper we present a concrete counterexample to the conjecture of Kontsevich about the polynomial countability of graph hypersurfaces. In contrast to this, we show that the "wheel with spokes" graphs WSnWS_n are polynomially countable.

Cite

@article{arxiv.1006.3533,
  title  = {On one example and one counterexample in counting rational points on graph hypersurfaces},
  author = {Dzmitry Doryn},
  journal= {arXiv preprint arXiv:1006.3533},
  year   = {2015}
}
R2 v1 2026-06-21T15:37:49.960Z