- an
algebraic set of
dimension one is also
called an
algebraic curve, but this will not be the case in this article.) Equivalently, an
algebraic curve is...
-
space and skew
curves apply also to real
algebraic curves,
although the
above definition of a
curve does not
apply (a real
algebraic curve may be disconnected)...
- (genus 3) Bring's
curve (genus 4)
Macbeath surface (genus 7)
Butterfly curve (
algebraic) (genus 7)
Polynomial lemniscate Fermat curve Sinusoidal spiral...
-
Algebraic varieties are the
central objects of
study in
algebraic geometry, a sub-field of mathematics. classically, an
algebraic variety is
defined as...
- mathematics, an
elliptic curve is a smooth, projective,
algebraic curve of
genus one, on
which there is a
specified point O. An
elliptic curve is
defined over...
-
Algebraic geometry is a
branch of
mathematics which uses
abstract algebraic techniques,
mainly from
commutative algebra, to
solve geometrical problems...
-
smooth plane curves (including
piecewise smooth plane curves), and
algebraic plane curves.
Plane curves also
include the
Jordan curves (
curves that enclose...
-
projective algebraic scheme X {\displaystyle X} : the
arithmetic genus and the
geometric genus. When X {\displaystyle X} is an
algebraic curve with field...
- in
algebraic geometry. The
analogue of a
Riemann surface is a non-singular
algebraic curve C over a
field k. The
difference in
terminology (
curve vs....
-
gonality of an
algebraic curve C is
defined as the
lowest degree of a
nonconstant rational map from C to the
projective line. In more
algebraic terms, if C...
