Publications

2014

• Solutions without any symmetry for semilinear elliptic problems
  
  • Ao Weiwei
  • Musso Monica
  • Pacard Frank
  • Wei Juncheng
  , 2014.
• Bloch's conjecture for Catanese and Barlow surfaces
  
  • Voisin Claire
  Journal of Differential Geometry, International Press, 2014, 97 (1), pp.149-175. Catanese surfaces are regular surfaces of general type with $p_g=0$. They specialize to double covers of Barlow surfaces. We prove that the $CH_0$ group of a Catanese surface is equal to $\mathbb{Z}$, which implies the same result for the Barlow surfaces. We will also give a conditional application (more precisely, assuming the variational Hodge conjecture) of the same method to the Chow motive of low degree $K3$ surfaces.