Liu Algebraic Geometry And Arithmetic Curves Pdf |link|

Because the subject matter is so dense, Qing Liu maintains an Errata list on his university homepage. If you are using a PDF or an older print copy, always cross-reference it with the errata to ensure you aren't stuck on a typo. Tips for Self-Study

The text is particularly praised for its treatment of several key concepts that are difficult to find elsewhere in such a cohesive form: liu algebraic geometry and arithmetic curves pdf

Most students begin with Robin Hartshorne’s Algebraic Geometry . However, Hartshorne’s text can be famously terse, and its focus is largely on varieties over a field. Qing Liu’s approach is different in several key ways: Because the subject matter is so dense, Qing

You should be comfortable with basic commutative algebra (Atiyah-MacDonald level) and some basic topology. However, Hartshorne’s text can be famously terse, and

: Try searching on academic databases like Google Scholar, ResearchGate, or Academia.edu. You might find a link to a PDF or at least a reference to where the book can be purchased or downloaded.

If Hartshorne is too fast, use Liu to see the details. If Liu feels too technical, use Hartshorne to get the "big picture" intuition.