论文标题
仿射品种和应用的分层未释放性的符号标准
Symplectic Criteria on Stratified Uniruledness of Affine Varieties and Applications
论文作者
论文摘要
我们制定了仿射品种的标准，以承认某些维度的未释放亚不同。测量结果来自符号共同体的长长序列，这是对包括仿射品种在内的一些开放式符号歧管的哈密顿浮子理论。一般而言，符号共同体很难计算。但是，符号共同体的某些消失和不变特性可以用来证明我们在某些情况下找到未释放的亚体Varieties的标准。我们在最小模型程序的方向上提供了标准的应用。
We develop criteria for affine varieties to admit uniruled subvarieties of certain dimensions. The measurements are from long exact sequences of versions of symplectic cohomology, which is a Hamiltonian Floer theory for some open symplectic manifolds including affine varieties. Symplectic cohomology is hard to compute, in general. However, certain vanishing and invariance properties of symplectic cohomology can be used to prove that our criteria for finding uniruled subvarieties hold in some cases. We provide applications of the criteria in birational geometry of log pairs in the direction of the Minimal Model Program.
