4 citations · 19 across the 24 of their papers we have counts for
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math.AG2009★ 1 cited
Hodge groups of certain superelliptic jacobians
Jiangwei Xue, Yuri G. Zarhin
Suppose that is a field of characteristic 0, is an odd prime, a positive integer, a prime power. Suppose that is a polynomial of degree with coef…
math.AG2009★ 1 cited
Centers of Hodge groups of superelliptic jacobians
Jiangwei Xue, Yuri G. Zarhin
We give lower bounds for dimensions of the centers of Hodge groups of superelliptic jacobians. In "generic case" this bound is precise. We also discuss dimensions of simple abelian…
math.AG2009★ 2 cited
Endomorphism algebras of Jacobians of certain superelliptic curves
Jiangwei Xue
Let be a prime, and a power of . Using Galois theory, we show that over a field of characteristic zero, the endomorphism algebras of the jacobians of certain superel…