Fermat quintic threefold

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1. In mathematics, a Fermat quintic threefold is a special quintic threefold, in other words a degree 5, dimension 3 hypersurface in 4-dimensional complex projective space, given by the equation .
2. After a general overview, we focus on the Fermat quintic threefold X, namely the hypersurface in four-dimensional projective space with equation x^5+y^5+z^5+u^5+v^5=0.
3. AB - We study the deformation theory of lines on the Fermat quintic threefold.
4. Damiano Testa Conics on the Fermat quintic threefold Background Often it is easier to study homogeneous polynomials.
5. Working with homogeneous polynomials we remove 0 from their vanishing set; Damiano Testa Conics on the Fermat quintic threefold Background Often it is easier to study homogeneous polynomials.
6. Damiano Testa Conics on the Fermat quintic threefold Background We are therefore naturally led to consider the projective space Pn over k, whose k-points are Pn(k) := k n+1 (cid:16) k .
7. Damiano Testa Conics on the Fermat quintic threefold Rational curves To study a variety we are going to search for parameterized curves inside it.
8. As an application, we study the quantum Fermat quintic threefold which is the quintic threefold in a quantum projective space.
9. Introduction We look at the Fermat quintic polynomial in ve variables G(x1, . . .
10. Mirror symmetry conjecture for Fermat quintic threefold Q is the begin- ning of the subject now called the Mirror Symmetry.
11. Namely, the B model of the Fermat quintic threefold is shown to be equivalent to the A model of its mirror, and hence establishes the mirror symmetry as a true duality.
12. The mathematical proof of the CDGP Conjecture was termed the Mirror theorem for the Fermat quintic threefold.
13. Therefore, we can phrase the Mirror theorem for the Fermat quintic in the following form.
14. The simplest is the Fermat quintic threefold in P4, dened by the equation 0 + x5 x5 1 + x5 2 + x5 3 + x5 4 = 0.
15. Section 2.2 illustrates this with the prime example of a compact Calabi-Yau manifold, the Fermat quintic.
16. Yu-Hsiang Liu: Donaldson-Thomas theory for quantum Fermat quintic threefolds is an interesting preprint I would like to read more carefully.

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• ID : Q5444380

Spacy 패턴 목록

• [{'LOWER': 'fermat'}, {'LOWER': 'quintic'}]
• [{'LOWER': 'fermat'}, {'LOWER': 'quintic'}, {'LEMMA': 'threefold'}]