论文标题
测量保留全态载体场，不变的反典型分隔和吉布斯稳定性
Measure preserving holomorphic vector fields, invariant anti-canonical divisors and Gibbs stability
论文作者
论文摘要
令X为紧凑的复杂歧管，其反典型线束很大。我们表明，如果X稳定（在任何级别），则X不承认非平凡的全态载体场。该证明是基于消失的结果，用于衡量独立利益的X上保存全体形态载体场。作为一种应用，它表明，通常，如果抗传统线束很大，则X上没有骨膜载体场，它们与X上的非单明性不可减至的抗抗典型分裂S有相切的距离。更一般而言，结果可用于对数终端奇异性和原木和原木和对数的品种。还指出了与Berndtsson有关普遍化的哈密顿人和量化功能的强制性的关系。
Let X be a compact complex manifold whose anti-canonical line bundle is big. We show that X admits no non-trivial holomorphic vector fields if it is Gibbs stable (at any level). The proof is based on a vanishing result for measure preserving holomorphic vector fields on X of independent interest. As an application it shown that, in general, if the anti-canonical line bundle is big, there are no holomorphic vector fields on X that are tangent to a non-singular irreducible anti-canonical divisor S on X. More generally, the result holds for varieties with log terminal singularities and log pairs. Relations to a result of Berndtsson about generalized Hamiltonians and coercivity of the quantized Ding functional are also pointed out.
