论文标题
限制性束带的限制定理
Restriction theorems for semistable sheaves
论文作者
论文摘要
在本文中，我们证明了对无扭转的滑轮的限制定理，这些带状杆子（半）相对于截短的希尔伯特多项式在光滑的投射品种上是稳定的。我们的结果特别适用于Gieseker可使用的滑轮，并概括了Mehta和Ramanathan的众所周知的限制定理。作为应用程序，我们在更高尺寸的束带构造带轮的模量空间。
In this paper we prove restriction theorems for torsion-free sheaves that are (semi)stable with respect to the truncated Hilbert polynomial over a smooth projective variety. Our results apply in particular to Gieseker-semistable sheaves and generalize the well-known restriction theorems of Mehta and Ramanathan. As an application we construct a moduli space of sheaves in higher dimensions.
