Characteristic classes encapsulate intrinsic geometric information about vector bundles and, more broadly, coherent sheaves over algebraic varieties. Their formulation in algebraic geometry has ...

Algebraic geometry is a field that investigates the solutions of systems of polynomial equations and the geometric structures they define. At its core lies the study of algebraic varieties, whose ...

Holomorphic vector bundles have become objects of interest not only to algebraic and differential geometers and complex analysts but also to low dimensional topologists and mathematical physicists ...

Syllabus: We will plan to cover approximately Chapter 2 and (time permitting) part of Chapter 3 of Hartshorne. For certain parts of the material, we will follow Vakil. Homework will consist of ...