论文标题
Frobenius和球形代码和社区
Frobenius and spherical codomains and neighbourhoods
论文作者
论文摘要
鉴于三角形类别之间的确切函数，该类别既接受伴随，且其cotwist为零或自动等效性，我们展示了如何将函数分别为Frobenius或球形的独特完整三角形子类别关联。我们用射合束和光滑的爆炸来说明了我们的构造。这项工作一般性的结果是Martin Kalck，David Ploog和第一作者获得的球形子类别。
Given an exact functor between triangulated categories which admits both adjoints and whose cotwist is either zero or an autoequivalence, we show how to associate a unique full triangulated subcategory of the codomain on which the functor becomes either Frobenius or spherical, respectively. We illustrate our construction with examples coming from projective bundles and smooth blowups. This work generalises results about spherical subcategories obtained by Martin Kalck, David Ploog and the first author.
