List of Algebraic Geometry Topics - Algebraic Geometry: Classical Approach

Algebraic Geometry: Classical Approach

  • Algebraic variety
    • Hypersurface
    • Quadric
    • Dimension of an algebraic variety
    • Hilbert's Nullstellensatz
    • Complete variety
    • Elimination theory
    • Quasiprojective variety
      • Gröbner basis
    • Canonical bundle
    • Complete intersection
    • Serre duality
    • Arithmetic genus, geometric genus, irregularity
  • Tangent space, Zariski tangent space
  • Function field of an algebraic variety
  • Ample vector bundle
  • Linear system of divisors
  • Birational geometry
    • Blowing up
    • Rational variety
    • Unirational variety
  • Intersection number
    • Intersection theory
    • Serre's multiplicity conjectures
  • Albanese variety
  • Picard group
  • Pluricanonical ring
  • Modular form
  • Moduli space
  • Modular equation
    • J-invariant
  • Algebraic function
  • Algebraic form
  • Addition theorem
  • Invariant theory
    • Symbolic method of invariant theory
  • Geometric invariant theory
  • Toric geometry
  • Deformation theory
  • Singular point, non-singular
  • Singularity theory
    • Newton polygon
  • Weil conjectures

Read more about this topic:  List Of Algebraic Geometry Topics

Famous quotes containing the words algebraic, classical and/or approach:

    I have no scheme about it,—no designs on men at all; and, if I had, my mode would be to tempt them with the fruit, and not with the manure. To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives?—and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared, to live more worthily and profitably?
    Henry David Thoreau (1817–1862)

    Culture is a sham if it is only a sort of Gothic front put on an iron building—like Tower Bridge—or a classical front put on a steel frame—like the Daily Telegraph building in Fleet Street. Culture, if it is to be a real thing and a holy thing, must be the product of what we actually do for a living—not something added, like sugar on a pill.
    Eric Gill (1882–1940)

    A novel which survives, which withstands and outlives time, does do something more than merely survive. It does not stand still. It accumulates round itself the understanding of all these persons who bring to it something of their own. It acquires associations, it becomes a form of experience in itself, so that two people who meet can often make friends, find an approach to each other, because of this one great common experience they have had ...
    Elizabeth Bowen (1899–1973)