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In this paper we prove classification results for gradient shrinking Riccisolitons under two invariant conditions, namely nonnegative orthogonalbisectional curvature and weakly PIC1, without any curvature bound. New resultson ancient solutions for the Ricci and K\"ahler-Ricci flow are also obtained.The main new feature is that no curvature upper bound is assumed.

K\"ahler-Ricci Shrinkers and Ancient Solutions with Nonnegative Orthogonal Bisectional Curvature