2 papers
math.AG2025
An arithmetic Yau-Zaslow formula
Jesse Pajwani, Ambrus Pál
We prove an arithmetic refinement of the Yau-Zaslow formula by replacing the classical Euler characteristic in Beauville's argument by a "motivic Euler characteristic", related to…
math.NT2025
Power structures on the Grothendieck--Witt ring and the motivic Euler characteristic
Jesse Pajwani, Ambrus Pál
For a field, we construct a power structure on the Grothendieck--Witt ring of which has the potential to be compatible with symmetric powers of varieties and the motivic Eu…