40 citations · 76 across the 3 of their papers we have counts for
3 papers
math.AG2013★ 22 cited
Framings for graph hypersurfaces
Francis Brown, Dzmitry Doryn
We present a method for computing the framing on the cohomology of graph hypersurfaces defined by the Feynman differential form. This answers a question of Bloch, Esnault and Kreim…
math.AG2010★ 40 cited
On one example and one counterexample in counting rational points on graph hypersurfaces
Dzmitry Doryn
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 "…
math.AG2008★ 14 cited
Cohomology of graph hypersurfaces associated to certain Feynman graphs
Dzmitry Doryn
To any Feynman graph (with 2n edges) we can associate a hypersurface X\subset\PP^{2n-1}. We study the middle cohomology H^{2n-2}(X) of such hypersurfaces. S. Bloch, H. Esnault, and…