Title: Boundedness of $\mathbb{Q}$-Fano varieties with degrees and alpha-invariants bounded from below,
Abstract: We show that $\mathbb{Q}$-Fano varieties of fixed dimension with
anti-canonical degrees and alpha-invariants bounded from below form a bounded
family. As a corollary, K-semistable $\mathbb{Q}$-Fano varieties of fixed
dimension with anti-canonical degrees bounded from below form a bounded family.