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 Fermat quintic threefold is a special quintic threefold, in other words a degree 5, dimension 3 hypersurface in 4-dimensional complex...

{N}}_{X/\mathbb {P} ^{n}}\to 0} For example, consider the nonsingular quintic threefold in P 4 {\displaystyle \mathbb {P} ^{4}} . Then the normal bundle is...

a generic quintic threefold in P 4 {\displaystyle \mathbb {P} ^{4}} as the variety X {\displaystyle X} and a construction from the quintic Dwork family...

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...

zero set V of a general section of this bundle is a quintic threefold called a Horrocks–Mumford quintic. Such a V has exactly 100 nodes; there exists a small...

quintic threefold 3264 The number of conics tangent to 5 plane conics in general position (Chasles) 609250 The number of conics on a general quintic threefold...

Fermat polynomial Fermat primality test Fermat pseudoprime Fermat quintic threefold Fermat quotient Fermat's difference quotient Fermat's factorization...

Consani–Scholton quintic itself is the non-singular hypersurface obtained by blowing up these singularities. As a non-singular quintic threefold, it is a Calabi–Yau...

dim ⁡ ( H 1 ( X , T X ) ) {\displaystyle \dim(H^{1}(X,TX))} for a quintic threefold in P 4 {\displaystyle \mathbb {P} ^{4}} , a Calabi–Yau variety, using...

theory Category theory Floer homology Fukaya category Derived category Quintic threefold IAS school of mathematics: Special Year on Homological Mirror Symmetry...

general formula for the problem of counting rational curves on a quintic threefold, and he reformulated these results as a precise mathematical conjecture...

University. Consani is the namesake of the Consani–Scholten quintic, a quintic threefold that she described with Jasper Scholten in 2001,[Q3] and of the...

{i}}\mathbb {P} _{\mathbb {F} }^{4}} gives an example of a quintic threefold. It can be difficult to find explicit examples of complete intersections...

theory Grassmannian Giambelli's formula Pieri's formula Chern class Quintic threefold Mirror symmetry conjecture Kleiman, S.L.; Laksov, Dan (1972). "Schubert...

X_{4}]/(X_{0}^{5}+\cdots +X_{4}^{5})\right)} is an example of a Fermat quintic threefold which is also a Calabi–Yau manifold. In addition to projective hypersurfaces...

nonagonal number 2872 – tetranacci number 2875 — number of lines on a quintic threefold 2879 – safe prime 2897 – super-prime, Markov prime 2902 – sum of the...

Albano: Albano, Alberto; Katz, Sheldon (1991). "Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture". Trans. Amer....

contained remarkable predictions about the number of rational curves on a quintic threefold. This was the first work to use mirror symmetry in order to make enumerative...

as the number of degree d {\displaystyle d} rational curves on a quintic threefold. For example, in Gromov–Witten theory, the Kontsevich moduli spaces...

enumerative geometry The Number of Twisted Cubics on a Quintic Threefold Rational curves on Calabi–Yau threefolds: Verifying mirror symmetry predictions Bertram...

quantum torus.[clarification needed] The moduli space of lines on the quintic threefold is a discrete set of 2875 points. The virtual number of points is...

example of a conifold is obtained as a deformation limit of a quintic - i.e. a quintic hypersurface in the projective space C P 4 {\displaystyle \mathbb...

In algebraic geometry, the Segre cubic is a cubic threefold embedded in 4 (or sometimes 5) dimensional projective space, studied by Corrado Segre (1887)...

ISBN 0-8218-1198-3, 81-06 (81T30 81Txx) Mirror symmetry and rational curves on quintic threefolds: A guide for mathematicians, J. Amer. Math. Soc. 6, 1993, 223–247...

A real two-dimensional slice of a quintic Calabi–Yau threefold...

Quintic Calabi–Yau threefold...

group was introduced by Phillip Griffiths who showed that for a general quintic in P 4 {\displaystyle \mathbf {P} ^{4}} (projective 4-space), the group...

value of the five-cent US nickel, but applied in non-monetary references) quintic the degree of a polynomial is 5 quint (short for quintuplet or the like)...

degree 4 projective variety. Not to be confused with quantic or quadric. quintic Degree 5, especially a degree 5 projective variety. quippian A quippian...