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Fields as algebraic objects. For vector and tensor fields, use eg. [dg.differential-geometry]. For physical fields, use eg. [mp.mathematical-physics] or [quantum-field-theory].
4
votes
Canonical form of cubic curves over general fields
Over the complex numbers, there are several normal forms.
A ternary cubic can be written as
$$
\lambda XYZ-(X+Y+Z)^3
$$
with a parameter $\lambda$.
This normal form is invariant under the symmetric gr …
2
votes
"Degree 3 fields"
Such fields are related to real-closed fields, which satisfy an even stronger property. … fields. …
4
votes
Accepted
English translation of Steinitz 1910?
You may already know this, but the best reference about Steinitz $1910$ work I could find is the following summary by Peter Roquette:
http://www.rzuser.uni-heidelberg.de/~ci3/STEINITZ.pdf. Some Engli …