- Thread starter
- #1

- Mar 10, 2012

- 835

I have been reading a book on Algebraic Geometry by Reid.

On page 15, there's a theorem on Quadratic forms. The book doesn't explicitly define what a Quadratic Form is. From Hoffman & Kunze's book on Linear Algebra I found that given an inner product space $V$ over a field $F$, the Quadratic Form determined by the inner product is a function from $V$ to $F$ which maps every vector $v\in V$ to the scalar $||v||^2$.

In the above context I can make sense of Theorem (B) in this:

https://docs.google.com/file/d/0B77QF0wgZJZ7VmhBcy1BaExTN28/edit

Does anybody see what Reid means by his Theorem B?