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Jun, 2019
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Algebraic Geometry

It helps a lot to study algebraic topology if one knows algebraic geometry. Atiyah and Hirzebruch imported K -theory from algebraic geometry to algebraic topology, since Hirzebruch himself studied algebraic varieties and they understood the work of Grothendieck very well. A more recent example is the work of Voevodsky .

Algebraic geometry is a huge subject with long history. The following is a part of the field.