论文标题
Instanton Sheaves在投影方案上
Instanton sheaves on projective schemes
论文作者
论文摘要
A $ h $ - instanton在封闭的某些投射空间的封闭亚cheme $ x $上，并带有充足且全球生成的线条捆绑包$ \ Mathcal {o} _x（h）$是一条连贯的杂物，其共同体表具有一定的处方形状。在本文中，我们处理了$ h $ - instanton或骨，将它们与Ulrich Sheaves有关。此外，我们在平滑的曲线和表面上研究$ h $ - instanton带轮，循环$ n $ folds，fano $ 3 $ folds和卷轴在任意光滑的曲线上。我们还与一个与$ h $ instanton捆绑有关的单一捆绑的单子家庭打交道，这些品种满足了一些温和的额外技术条件。
A $h$-instanton sheaf on a closed subscheme $X$ of some projective space endowed with an ample and globally generated line bundle $\mathcal{O}_X(h)$ is a coherent sheaf whose cohomology table has a certain prescribed shape. In this paper we deal with $h$-instanton sheaves relating them to Ulrich sheaves. Moreover, we study $h$-instanton sheaves on smooth curves and surfaces, cyclic $n$-folds, Fano $3$-folds and scrolls over arbitrary smooth curves. We also deal with a family of monads associated to $h$-instanton bundles on varieties satisfying some mild extra technical conditions.
