I'm NOT a Mathematician and I'm totally new to the field of Algebraic Geometry.
A friend of mine told me that one thing which is studied in this field is to consider a curve as a set of points in n-D space and try to find (n+1)-D hyper-planes whose intersection is that curve and then study those planes. (finding polynomials whose zeros are curve points and study them)
I'm interested in this topic and want to know more but searching algebraic geometry literature in general is to broad so I'd really appreciate if somebody can give me some hints and keywords (names of algorithms and theorems) to narrow my search.
Thank you in advance,