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Results tagged with ag.algebraic-geometry
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user 7311
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
Are there any good computer programs for drawing (algebraic) curves?
The mathematical visualization program 3D-XplorMath (which is freely available at http://3D-XplorMath.org) will do this easily. When the program starts up, first select the "Plane Curve" category, the …
- 15.3k
4
votes
Does a finite-dimensional Lie algebra always exponentiate into a universal covering group
The short answer to 3. is "no". The simplest example is the circle group, $e^{it}$ of complex numbers of absolute value 1, (thought of as a $1 \times 1$ matrices), its Lie algebra $A$ consists of the …
- 15.3k
2
votes
Vector valued functions
For n = 1, it is well-known and obvious that a polynomial $P(x)$ approaches either $+ \infty$ or else $-\infty$ as $x \to \infty$, so in particular it has all its values in either the positive half-ax …
- 15.3k
0
votes
0
votes
Irreducibility of determinant of symmetric matrix
I think you must mean the characteristic polynomial (the determinant is a scalar, not a polynomial), but then what about the identity matrix---it has characteristic polynomial $(\lambda-1)^n$ and so i …
- 15.3k