The Double Complex of a Blow-up

Stelzig, Jonas (2021): The Double Complex of a Blow-up. In: International Mathematics Research Notices, Bd. 2021, Nr. 14: S. 10731-10744

Abstract

We compute the double complex of smooth complex-valued differential forms on projective bundles over and blow-ups of compact complex manifolds up to a suitable notion of quasi-isomorphism. This simultaneously yields formulas for all cohomologies naturally associated with this complex (in particular, de Rham, Dolbeault, Bott-Chern, and Aeppli).

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1073-7928
• Sprache: Englisch