Volume II Geometry -- Some Algebro-Geometrical Aspects of the Newton Attraction Theory -- Smoothing of a Ring Homomorphism Along a Section -- Convexity and Loop Groups -- The Jacobian Conjecture and Inverse Degrees -- Some Observations on the Infinitesimal Period Relations for Regular Threefolds with Trivial Canonical Bundle -- On Nash Blowing-Up -- Arrangements of Lines and Algebraic Surfaces -- Regular Functions on Certain Infinitedimensional Groups -- Examples of Surfaces of General Type with Vector Fields -- Flag Superspaces and Supersymmetric Yang-Mills Equations -- Algebraic Surfaces and the Arithmetic of Braids, I -- Towards an Enumerative Geometry of the Moduli Space of Curves -- Schubert Varieties and the Variety of Complexes -- A Crystalline Torelli Theorem for Supersingular K3 Surfaces -- Decomposition of Toric Morphisms -- A Solution to Hironaka's Polyhedra Game -- On the Superpositions of Mathematical Instantons -- How Many Kahler Metrics Has a K3 Surface? -- On the Problem of Irreducibility of the Algebraic System of Irreducible Plane Curves of a Given Order and Having a Given Number of Nodes.