Positivity in Kahler geometry
Student No.:50
Time:Mon/Wed 10:10-12:00, 2016-12-12~ 2017-1-4 (No classes on Jan. 2)
Instructor:Jian Xiao  [Northwestern University]
Place:Conference Room 3, floor 2, Jin Chun Yuan West Building
Starting Date:2016-12-12
Ending Date:2017-1-4



The aim of this course is to give an introduction to several well-known and fundamental positivity results in algebraic and Kahler geometry. We will discuss the Kahler cone of a compact Kahler manifolds, volume function for (1,1) cohomology classes and its properties, duality of positive cones, etc.







Basics in complex geometry and several complex variables







J.P. Demailly, Analytic Methods in Algebraic Geometry, online book.



J.P. Demailly and M. Paun, Numerical characterization of the Kahler cone of a compact Kahler manifold, Annals of Math. 159 (2004) 1247-1274.



S. Boucksom, J.P. Demailly, M. Paun, T. Peternell, The pseudo-effective cone of a compact Kahler manifold and varieties of negative Kodaira dimension, J. Algebraic Geom. 22 (2013), no. 2, 201-248.



S. Boucksom, C. Favre, and M. Jonsson, Differentiability of volumes of divisors and a problem of Teissier, J. Algebraic Geom. 18 (2009), no. 2, 279-308.