3 papers
math.AG2020
Zeta statistics and Hadamard functions
Margaret Bilu, Ronno Das, Sean Howe
We introduce the Hadamard topology on the Witt ring of rational functions, giving a simultaneous refinement of the weight and point-counting topologies. Zeta functions of algebraic…
math.AG2019
Motivic Euler products in motivic statistics
Margaret Bilu, Sean Howe
We formulate and prove an analog of Poonen's finite-field Bertini theorem with Taylor conditions that holds in the Grothendieck ring of varieties. This gives a broad generalization…
math.AG2018
Motivic Euler products and motivic height zeta functions
Margaret Bilu
A motivic height zeta function associated to a family of varieties parametrised by a curve is the generating series of the classes, in the Grothendieck ring of varieties, of moduli…