Selected Papers Of Yu I Manin

Part 1 Algebraic geometry: the Hasse-Witt matrix of an algebraic curve; rational points of algebraic curves over functional fields; correspondences, motive and monoidal transforms; new directions in geometry; arrangements of hyperplanes, higher braid groups and higher Bruhat orders. Part 2 Modular forms and diophantine equations: the p-torsion of elliptic curves is uniformly bounded; parabolic points and zeta-functions of modular curves; periods of p-adic Schottky groups; rational points of bounded height of Fano varieties; points of bounded height on del Pezzo surfaces. Part 3 Differential equations and mathematical physics: long wave equation with free boundary - 1; conservation laws and solutions; long wave equations with a free surface - 2; Hamiltonian structure and higher equations; a supersymmetric extension of the Kadomtsev-Petviashvili hierarchy; the Momford form and the Polyakov measure in string theory; Gromov-Witten classes, quantum cohomology and enumerative geometry; and other papers.