K3 surface

A K3 surface is an important and interesting example of a compact complex surface (complex dimension 2 being real dimension 4). Together with two dimensional complex tori, they are the Calabi-Yau manifolds of dimension two. Most K3 surfaces are not algebraic. This means that, in general, they cannot be embedded in any projective space as a surface defined by polynomial equations. However, K3 surfaces first arose in algebraic geometry and it is in this context that they received their name — it is after three algebraic geometers, Kummer, K?hler and Kodaira, alluding also to the mountain peak K2 in the news when the name was given during the 1950s.

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Compact: Compact as a general noun can refer to:...

Calabi-Yau manifold: In mathematics, a Calabi-Yau manifold is a compact K?hler manifold with a vanishing first Chern class. A Calabi-Yau manifold of complex dimension n is also called a Calabi-Yau n-fold. The mathematician Eugenio Calabi conjectured in 1957 that all such manifolds admit a Ricci-flat metric (one in each ...

Algebraic geometry: Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of algebraic equations. When there is more than one variable, geometric considerations enter, a...

K3 surface related Images and Photos (experimental)

Surface I	Grande Surface c.2005	12 Surface IQ Pentagon	Invaders Surface/Wall Graphics
Dna Surface Molecular Model	The Lunar Surface	Surface The Complete Series DVD (Widescreen)	Koi on the Surface
The Tongue Surface of the Anubis or Olive Baboon (Papio Anubis)	The Blue Marble: Land Surface Ocean Color and Sea Ice	Doctor Who: Beneath the Surface (Giftset) (DVD)	A large copepod shares surface waters with an adult polychaete worm