Recent zbMATH articles in MSC 14E99https://zbmath.org/atom/cc/14E992024-03-13T18:33:02.981707ZWerkzeugIsotriviality of smooth families of varieties of general typehttps://zbmath.org/1528.140432024-03-13T18:33:02.981707Z"Wei, Chuanhao"https://zbmath.org/authors/?q=ai:wei.chuanhao"Wu, Lei"https://zbmath.org/authors/?q=ai:wu.leiSummary: In this paper, we proved that a log smooth family of log general type klt pairs with a special (in the sense of Campana) quasi-projective base is isotrivial. As a consequence, we proved the generalized Kebekus-Kovács conjecture [the authors, Int. Math. Res. Not. 2023, No. 1, 708--743 (2023; Zbl 1511.14020)], Conjecture 1.1, for smooth families of general type varieties as well as log smooth families of log canonical pairs of log general type, assuming the existence of relative good minimal models.