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Indian Institute of Science Education and Research Berhampur


MTH 524: An introduction to schemes and cohomology (4)

Prerequisites: MTH 415
Desirable: MTH 517

Course contents:

Basics of Category theory , Sheaves , Schemes, Properties of Schemes, Separated and Proper Morphisms, Sheaves of Modules, Divisors, Projective Morphisms, Differentials, Derived Functors, Cohomology of Sheaves, Cohomology of a Noeitherian Affine Schemes, Cech Cohomology, Cohomology of Projective spaces, Ext group and Scheves , Serre Duality theorem (statement only), Flat Morphisms and Smooth Morphisms

Suggested Books:


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