Explore: Quintic Curves

curves) Crunode Curve Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth problem Cubic plane curve Hyperelliptic curve

In mathematics, a quintic threefold is a 3-dimensional hypersurface of degree 5 in 4-dimensional projective space P 4 {\displaystyle \mathbb {P} ^{4}}

In mathematics, a quintic function is a function of the form g ( x ) = a x 5 + b x 4 + c x 3 + d x 2 + e x + f , {\displaystyle g(x)=ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f

is a non-singular quintic threefold in CP4, which is the algebraic variety consisting of all of the zeros of a homogeneous quintic polynomial in the homogeneous

the average rank of all elliptic curves over Q (when ordered by height) is bounded. Proof that most hyperelliptic curves over Q have no rational points

non-singular quintic 3-fold is Herbert Clemens (1984) conjectured that the number of rational curves of a given degree on a generic quintic threefold is

Quartic All pages with titles containing Quartic Quart (disambiguation) Quintic, relating to degree 5, as next higher above quartic Cubic (disambiguation)

kinds of elliptic curves that included Frey's equation (known as semistable elliptic curves). From Ribet's Theorem and the Frey curve, any 4 numbers able

canonical curve is generated by its elements of degree 2, except for the cases of (a) trigonal curves and (b) non-singular plane quintics when g = 6

elliptic curves. From 1906 to 1911, Beppo Levi published a series of papers investigating the possible finite orders of points on elliptic curves over the