Combinatorial algorithm extends classical Lie algebra methods to compute GK dimensions for highest weight modules over sl(m|n) and osp(2|2n), showing dependence only on the even part.
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Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
S-prime elements are defined in V-lattices and the S-Prime Element Principle is introduced to prove certain elements are S-prime, yielding a uniform approach to prime element existence in multiplicative lattices when S equals {1}.
Classifies equigenerated homogeneous ideals attaining equality in the Takagi-Watanabe bound fpt(I) >= height(I)/d and provides a new lower bound on fpt(I) via height of the test ideal tau(I to the power fpt(I)).
Constructs silting t-structures in the Q-shaped derived category from admissible partitions of Q, with explicit cotorsion pairs, homological descriptions, and examples of when none exist.
SGR-R possesses a canonical set of free generators via shifted twists, endowing it with a Grothendieck structure and enough injectives and projectives, plus a semi-graded Baer's criterion analogue.
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