论文标题
反向相干滑轮和有理曲线的非交通变形
Non-commutative deformations of perverse coherent sheaves and rational curves
论文作者
论文摘要
我们考虑在代数品种上的束带的非交通变形。我们开发了一些工具来确定部分简单集合和平滑理性曲线的结构或骨的参数代数。我们将它们应用于长度2及更高长度的通用垃圾收缩。在劳弗失败的情况下，我们证实了多诺万 - 韦姆斯的猜想。
We consider non-commutative deformations of sheaves on algebraic varieties. We develop some tools to determine parameter algebras of versal non-commutative deformations for partial simple collections and the structure sheaves of smooth rational curves. We apply them to universal flopping contractions of length 2 and higher. We confirm Donovan-Wemyss conjecture in the case of deformations of Laufer's flops.
