Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles Hélène EsnaultVikram Mehta OriginalPaper 30 April 2010 Pages: 449 - 465
Bethe-Sommerfeld conjecture for periodic operators with strong perturbations Leonid ParnovskiAlexander V. Sobolev OriginalPaper 19 May 2010 Pages: 467 - 540
Ranks of twists of elliptic curves and Hilbert’s tenth problem B. MazurK. Rubin OriginalPaper Open access 19 May 2010 Pages: 541 - 575
Exotic smooth structures on small 4-manifolds with odd signatures Anar AkhmedovB. Doug Park OriginalPaper 12 May 2010 Pages: 577 - 603
Algebraic volume density property of affine algebraic manifolds Shulim KalimanFrank Kutzschebauch OriginalPaper 20 May 2010 Pages: 605 - 647