• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Working paper

Non-Collapsible Dual Complexes and Fake del Pezzo Surfaces

Abstract. We propose the new construction of complex surfaces with h^1,0 = h^2,0 = 0 from smoothings of normal crossing surfaces with non- collapsible dual complexes and carry it out for the simplest case of the duncehat complex, obtaining the surface with h^1,1 = 9 (presumably Barlow surface).