论文标题
在积极特征中侵犯了Lipman-Zariski的猜想
The Violation of the Lipman-Zariski conjecture in positive characteristic
论文作者
论文摘要
我们研究Lipman-Zariski猜想在积极特征中的失败。对于理性的双点，猜想除了简短的例外列表外，猜想是正确的。对于对数规范的表面奇异性，在额外的驯服假设下，猜想继续持有相同的例外列表。 In particular, among rational double points in characteristic $p \ge 7$ Lipman's counterexample is the only one, and the conjecture holds for all tame $F$-pure normal surface singularities.
We study the failure of the Lipman-Zariski conjecture in positive characteristic. For rational double points, the conjecture holds true except for a short finite list of exceptions. For log canonical surface singularities, the conjecture continues to hold with the same list of exceptions under an additional tameness hypothesis. In particular, among rational double points in characteristic $p \ge 7$ Lipman's counterexample is the only one, and the conjecture holds for all tame $F$-pure normal surface singularities.
