CROSS-LINKED PRODUCT AND TIRE

A cross-linked product obtained through crosslinking a polymer composition that contains a rubber component, an inorganic filler and a cross-linking agent and that satisfies conditions (a) to (c): (a) the rubber component contains a conjugated diene-based polymer (A) having, when composition ratios (molar ratios) in the conjugated diene-based polymer (A) of structural units represented by formulae (1) to (4) are p, q, r, and s, respectively, a value α represented by formula (i) of 0.80 or more and 0.97 or less; (b) a blending ratio of the conjugated diene-based polymer (A) is 10% by mass or more relative to a total amount of the rubber component; and (c) a blending ratio of the inorganic filler is 40 to 150 parts by mass relative to 100 parts by mass of the rubber component, wherein the Tg of the cross-linked product is −25° C. or lower.