Let V be a vector bundle over a smooth curve C. In this paper, we study twisted Brill–Noether loci parametrising stable bundles E of rank n and degree e with the property that \(h^0 (C, V \otimes E) \ge k\). We prove that, under conditions similar to those of Teixidor i Bigas and of Mercat, the Brill–Noether loci are nonempty and in many cases have a component which is generically smooth and of the expected dimension. Along the way, we prove the irreducibility of certain components of both twisted and “nontwisted” Brill–Noether loci. We describe the tangent cones to the twisted Brill–Noether loci. We end with an example of a general bundle over a general curve having positive-dimensional twisted Brill–Noether loci with negative expected dimension.

令V为平滑曲线C上的向量束。在本文中，我们研究了扭曲的Brill–Noether位点参数化等级为n和度为e的稳定束E，其属性为\（h ^ 0（C，V \ otimes E）\ ge k \）。我们证明，在类似于Teixidor i Bigas和Mercat的条件下，Brill–Noether位点是非空的，并且在许多情况下，其分量通常是平滑的且具有预期的维数。在此过程中，我们证明了扭曲和“非扭曲” Brill-Noether位点的某些成分的不可约性。我们描述了扭曲的Brill-Noether位点的切线锥。我们以在具有正维数扭曲的Brill–Noether位点和负期望维数的总曲线上的总束为例结束。