标题： Tate对偶性和对称代数在完备离散赋值环上的转移 显示英文标题

标题： Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings

摘要： 我们证明在完备离散赋值环上的对称代数的Hochschild上同调中，对偶化转移映射与Tate对偶性相容。 这类似于在域上的对称代数的Tate上同调中的类似结果。 我们将这两个结果置于Calabi-Yau三角范畴的更广泛背景下进行解释。 显示英文摘要

摘要： We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories.