Linear syzygies of Veronese varieties

Speaker: Vu Thanh

3:45 PM

Abstract: The rational homology groups of the matching complexes are closely related to the syzygies of the Veronese embeddings. In this talk I will give a proof of the shellability of certain skeleta of matching complexes, thus proving that the $d$-th Veronese embeddings of projective spaces satisfy property $N_{2d-2}$.