We prove stability of rank two tautological bundles on the Hilbert square of a surface (under a mild positivity condition) and compute their Chern classes.
Cite this article
Ulrich Schlickewei, Stability of Tautological Vector Bundles on Hilbert Squares of Surfaces. Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 127–138DOI 10.4171/RSMUP/124-7