Algebraic Geometry
Differentials are also important in algebraic geometry, and there are several important notions.
- Abelian differentials usually refer to differential one-forms on an algebraic curve or Riemann surface.
- Quadratic differentials (which behave like "squares" of abelian differentials) are also important in the theory of Riemann surfaces.
- Kähler differentials provide a general notion of differential in algebraic geometry
Read more about this topic: Differential (mathematics)
Famous quotes containing the words algebraic and/or geometry:
“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)
“The geometry of landscape and situation seems to create its own systems of time, the sense of a dynamic element which is cinematising the events of the canvas, translating a posture or ceremony into dynamic terms. The greatest movie of the 20th century is the Mona Lisa, just as the greatest novel is Gray’s Anatomy.”
—J.G. (James Graham)