projective quartic

  • 1PSL(2,7) — In mathematics, the projective special linear group PSL(2,7) is a finite simple group that has important applications in algebra, geometry, and number theory. It is the automorphism group of the Klein quartic as well as the symmetry group of the… …

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  • 2Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …

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  • 3mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …

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  • 4Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …

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  • 5Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …

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  • 6Mathieu group — Group theory Group theory …

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  • 7Del Pezzo surface — In mathematics, a del Pezzo surface or Fano surface is a two dimensional Fano variety, in other words a non singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general… …

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  • 8Cubic surface — A cubic surface is a projective variety studied in algebraic geometry. It is an algebraic surface in three dimensional projective space defined by a single polynomial which is homogeneous of degree 3 (hence, cubic). Cubic surfaces are del Pezzo… …

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  • 9Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …

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  • 10ADE classification — The simply laced Dynkin diagrams classify diverse mathematical objects. In mathematics, the ADE classification (originally A D E classifications) is the complete list of simply laced Dynkin diagrams or other mathematical objects satisfying… …

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