标题： 复杂度一T-簇的极小对数不连续性的界 显示英文标题

标题： Bounding minimal log discrepancies of complexity one T-varieties

摘要： 极小对数不离散性是一个重要的不变量，在代数簇的双有理分类中起着关键作用。 Shokurov 猜想，极小对数不离散性总是可以通过簇的维数从上方来限制。 我们证明了对于复杂度为一的$T$-簇，该猜想成立，从而补充了关于该猜想之前的结果，包括三维簇、toric簇以及局部完全交簇的情况。 显示英文摘要

摘要： The minimal log discrepancy is an invariant that plays an important role in the birational classification of algebraic varieties. Shokurov conjectured that the minimal log discrepancy can always be bounded from above in terms of the dimension of the variety. We prove this conjecture for $T$-varieties of complexity one, adding to previous results on this conjecture which include threefolds, toric varieties, and local complete intersection varieties.