Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 2

This volume presents twelve important papers on algebraic and complex geometry—papers that have played important roles in the development of these subjects. The subject matter ranges from the birational geometry of varieties, to geometric structures of moduli spaces in algebraic and complex geometry, to the geometry of compact and non-compact Kähler manifolds. Among the authors and topics are: Raoul Bott on a residue formula for holomorphic vector-fields; Armand Borel on metric properties of arithmetic quotients of symmetric spaces and an extension theorem; P. B. A. Kronheimer on Torelli-type theorem for gravitational instantons; Victor Guillemin on Kaehler structures on toric varieties; S. K. Donaldson on scalar curvature and stability of toric varieties; and Gang Liu on the volume growth of Kähler manifolds with nonnegative bisectional curvature. With a preface by Jun Li.