Let X be a minimal projective threefold of general type over \(\mathbb {C}\) with only Gorenstein quotient singularities, and let \(\mathrm {Aut}_{\mathbb {Q}}(X)\) be the subgroup of automorphisms acting trivially on \(H^*(X,\mathbb {Q})\). In this paper, we show that if X is of maximal Albanese dimension, then \(|\mathrm {Aut}_{\mathbb {Q}}(X)|\le 6\). Moreover, if X is nonsingular and \(K_X\) is ample, then \(|\mathrm {Aut}_{\mathbb {Q}}(X)|\le 5\). Seeking for higher-dimensional examples of varieties with nontrivial \(\mathrm {Aut}_{\mathbb {Q}}(X)\), we concern d-folds X isogenous to an unmixed product of curves. If \(d=3\), we show that \(\mathrm {Aut}_{\mathbb {Q}}(X)\) is a 2-elementray abelian group whose order is at most 4 under some conditions on their minimal realizations. Moreover, each of the possible groups can be realized. If \(d\ge 3\), we give a sufficient condition for \(\mathrm {Aut}_{\mathbb {Q}}(X)\) being trivial. Curiously, there exist examples of projective threefolds X with terminal singularities and maximal Albanese dimension whose \(\mathrm {Aut}_{\mathbb {Q}}(X)\) can have an arbitrarily large order.

设X为仅具有Gorenstein商奇异性的\（\ mathbb {C} \）上的普通类型的最小投影三倍性，并设\（\ mathrm {Aut} _ {\ mathbb {Q}}（X）\）为同构作用于\（H ^ *（X，\ mathbb {Q}）\）的自同构子集。在本文中，我们证明了如果X具有最大阿尔巴涅斯维数，则\（| \ mathrm {Aut} _ {\ mathbb {Q}}（X）| \ le 6 \）。此外，如果X为非奇数且\（K_X \）足够，则\（| \ mathrm {Aut} _ {\ mathbb {Q}}（X）| \ le 5 \）。寻求具有非平凡\（\ mathrm {Aut} _ {\ mathbb {Q}}（X）\）的变种的高维示例，我们关注d-folds X isogenous为曲线的未混合的产物。如果\（d = 3 \），则表明\（\ mathrm {Aut} _ {\ mathbb {Q}}（X）\）是2个元素的阿贝尔群，在某些条件下，它们的阶数最多为4最小的实现。此外，可以实现每个可能的组。如果\（d \ ge 3 \），我们给出足够的条件使\（\ mathrm {Aut} _ {\ mathbb {Q}}（X）\）不重要。奇怪的是，存在具有终极奇点和最大阿尔巴涅斯维数的射影三折X的示例，其\（\ mathrm {Aut} _ {\ mathbb {Q}}（X）\）可以具有任意大的阶数。