11.3 Rational maps (Commutative Algebra and Algebraic Geometry)

What happens if we allow maps that are only defined almost everywhere on a variety, and what does it mean algebraically?

This lecture is part of a master level course on Commutative Algebra and Algebraic Geometry.
Keywords: Rational map, dominant map, dense subset, rational function, function field.
Lecturer: Seidon Alsaody, Uppsala University.

[_faraz]

Your lectures are very clear. Thank You so much.

[ilprincipe]

Thank you very much for this helpful video! But one quick question: At 7:29 you write "x0 =/= 1", shouldnt it be "x0 =/= 0", because otherwise the quotient is not well-defined

[_faraz]

I have this question: why are zariski open sets dense?