CMI, December 2012
General reference is Algebraic Geometry by R. Hartshorne. More specific
references are below.
Sheaves and Sheaves of modules: Chapter 2, Sections 1 and 5.
Divisors and line bundles on projective space: Chapter 2, Section 6.
Cohomology of sheaves: Chapter 3, Sections 1-2.
Cech complex and cohomology of Pn: Chapter 3, Sections 4-5.
Higher direct image sheaves: Chapter 3, Section 8.
Other topics:
Regularity of coherent sheaves: Chapter 4 of Geometry of Syzygies by
D. Eisenbud.
Np Property: Section 1.8.D in Positivity in Algebraic Geometry I by R. Lazarsfeld.
Grothendieck's theorem on splitting of vector bundles on P1:
Theorem 2.1.1 in Vector Bundles on Complex Projective Spaces by C. Okonek,
M. Schneider and H. Spindler.
Lecture notes taken by
Kavita Sutar (Thanks Kavita!):
Lectures 1-6
and
Lecture 7
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