Splitting Varieties for Cup Products with Z/3-Coefficients Journal of Number Theory 169C (2016), pp. 388-405. pdf |
We connect Veronese embeddings to splitting varieties of cup products. We then give an algorithm for constructing splitting varieties for cup products with $\mathbb Z/n$ coefficients, with an explicit calculation for $n=3$. An application to the automatic realization of Galois groups is given.