一般交换曲面的无基点阈值
The basepoint-freeness threshold of a very general abelian surface
摘要：
对于交换表面的皮卡秩1，我们进行明确的计算上同调秩函数的理想层的一个点，特别是基点自由阈值。我们的主要工具是上同调秩函数和Bridgeland稳定性之间的关系。由于最近的结果Caucci和伊藤，这些计算提供了新的信息的syzygies极化阿贝尔表面。
英文摘要：
For abelian surfaces of Picard rank 1, we perform explicit computations of the cohomological rank functions of the ideal sheaf of one point, and in particular of the basepoint-freeness threshold. Our main tool is the relation between cohomological rank functions and Bridgeland stability. In virtue of recent results of Caucci and Ito, these computations provide new information on the syzygies of polarized abelian surfaces.
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