Beschreibung
Inhaltsverzeichnis
Preface Part 1. A Quick Tour 1.Plane Curves Part 2. Sheaves and Geometry 2.Manifolds and Varieties via Sheaves 3.Basic Sheaf Theory 4.Sheaf Cohomology 5.De Rham Cohomoloy of Manifolds 6.Riemann Surfaces 7.Simplicial Methods Part 3. Hodge Theory 8.The Hodge Theorem for Riemann Manifolds 9.Toward Hodge Theory for Complex Manifolds 10.Kahler Manifolds 11.Homological Methods in Hodge Theory 12.A Little Algebraic Surface Theory 13.Topology of Families 14.The Hard Lefschez Theorem Part 4. Coherent Cohomology 15.Coherent Sheaves on Projective Space 16.Computation of Some Hodge Numbers 17.Deformation Invariance of Hodge Numbers Part 5. A Glimpse Beyond 18.Analogies and Conjectures Bibliography Index
Autorenporträt
Donu Arapura is a Professor of Mathematics at Purdue University. He received his Ph.D. from Columbia University in 1985. Dr. Arapuras primary research includes algebraic geometry, and he has written and co-written several publications ranging from Hodge cycles to cohomology.
