A note on congruences for theta divisors
The classes of two theta divisors on an abelian variety in the naive Grothendieck ring of varieties need not be congruent modulo the class of the affine line.
math.AG↗
arXiv subjects
Franziska Heinloth
Publications and source records attributed to Franziska Heinloth.
A note on functional equations for zeta functions with values in Chow motives
We consider zeta functions with values in the Grothendieck ring of Chow motives. Investigating the lambda-structure of this ring, we deduce a functional equation for the zeta function of abelian varieties. Furthermore, we show that the property of having a rational zeta function satisfying a functional equation is preserved under products.
math.AG↗