科研之友
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摘要
Let X be a normal variety. Assume that for some reduced divisor D subset of X, logarithmic 1-forms defined on the snc locus of (X, D) extend to a log resolution (X) over tilde -%26gt; X as logarithmic differential forms. We prove that then the Lipman-Zariski conjecture holds for X. This result applies in particular if X has log canonical singularities. Furthermore, we give an example of a 2-form defined on the smooth locus of a three-dimensional log canonical pair (X, empty set) which acquires a logarithmic pole along an exceptional divisor of discrepancy zero, thereby improving on a similar example of Greb, Kebekus, Kovacs and Peternell.
- 出版日期2014
