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An expository article on sheaves and classification in algebraic geometry

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Motivated Introduction to Sheaves and Cohomology

Sheaves are essential objects of study in algebraic geometry and their cohomology theory is a powerful tool in their study. Sheaf theory and cohomology may sound scary to those beginning their journey into algebraic geometry, but these concepts are more intuitive than it might seem at first. This expository article is my attempt to convey the beauty and usefulness of sheaf theory to the student with basic knowledge of varieties.

This article grew out of a UROP project I completed at Imperial after the second year of my Undergraduate degree. I wasn't happy enough with the article to publish it after the summer, but a good friend of mine convinced me to polish it and put it online.

Compilation

This article requires lualatex to be installed and is compiled using latexmk.


Motivated Introduction to Sheaves and Cohomology by Miika Rankaviita is licensed under CC BY-NC-SA 4.0

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