We compare two different cohomology groups on unitary Shimura curves over totally real number fields; these groups are used in the construction of p-adic families of modular forms in this context. More precisely, we describe the space of finite slope overconvergent modular forms of any weight in terms of a convenient overconvergent cohomology.

中文翻译：

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完全实场上单一Shimura曲线的超收敛Eichler-Shimura同构

我们在完全实数域上的单一Shimura曲线上比较了两个不同的同调群。在这种情况下，这些基团用于构建模块化形式的p -adic族。更准确地说，我们通过方便的超收敛同调性描述了任意重量的有限斜率超收敛模块化形式的空间。