论文标题
intsanton束带的三倍。
Instanton sheaves on Fano threefolds
论文作者
论文摘要
概括了Kuznetsov和Faenzi最初提出的定义，我们研究了（可能是非本地的）Instanton Sheaves在Fano三倍上的任意等级。我们对等级1 instanton滑轮进行了分类，并描述所有结构或骨的曲线等级为0 instanton Sheaves。此外，我们还表明，每个等级2 Instanton Sheaf是沿等级0 Instanton sheaf的本地自由插曲的基本转换。 To complete the paper, we describe the moduli space of rank 2 instanton sheaves of charge 2 on a quadric threefold $X$, and show that the full moduli space of rank 2 semistable sheaves on $X$ with Chern classes $(c_1,c_2,c_3)=(-1,2,0)$ is connected and contains, besides the instanton component, just one other irreducible component which is also fully described.
Generalizing the definitions originally presented by Kuznetsov and Faenzi, we study (possibly non locally free) instanton sheaves of arbitrary rank on Fano threefolds. We classify rank 1 instanton sheaves and describe all curves whose structure sheaves are rank 0 instanton sheaves. In addition, we show that every rank 2 instanton sheaf is an elementary transformation of a locally free instanton sheaf along a rank 0 instanton sheaf. To complete the paper, we describe the moduli space of rank 2 instanton sheaves of charge 2 on a quadric threefold $X$, and show that the full moduli space of rank 2 semistable sheaves on $X$ with Chern classes $(c_1,c_2,c_3)=(-1,2,0)$ is connected and contains, besides the instanton component, just one other irreducible component which is also fully described.
