Arithmetic and Geometry

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.