## ANNOUNCEMENTS

Registration for Winter term opens Thursday, November 17, 2016.

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## COURSE DESCRIPTION

This is the second quarter of a year long course on the foundations of algebraic geometry. The primary focus this quarter will be on the study of cohomology of coherent sheaves.

## POLICIES

**Grading: **No exams. Based on homework and a final report.

**Homework: **There will be weekly homework. You are encouraged to work in groups but solutions must be written independently. It is extremely important to do homeworks to have a solid grasps of materials.

## TOPICS COVERED

Possible topics: Homological algebra, Serre's criterion of affine schemes, category of coherent sheaves on projective spaces, finiteness of coherent cohomology along proper morphisms, flat and smooth morphisms, Grothendieck-Serre duality, and so on and so forth.

## TEXTBOOKS

No specific textbook. But some homework problems will be picked up from Hartshorne's algebraic geometry.