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Results tagged with ag.algebraic-geometry
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user 85967
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
1
vote
When do multiple polynomials have a common root?
Well, the "naïve" answer (already implied in @Somnium's comment) is that a general method for finding the solutions of a system of simultaneous polynomial equations
$$
f_1(x)=0, \ \ f_2(x)=0, \ \ \cdo …
- 7,746
8
votes
Accepted
$\mathbb{Z}$-graded algebras and tensor products
No it cannot happen.
And not only for strongly $\mathbb{Z}$-graded rings; this is always the case for any strongly $G$-graded ring, where $G$ is a group. $A_k \otimes_{A_0} A_l \simeq A_{k+l}$ is an i …
- 7,746
2
votes
Algebras Morita equivalent with the Weyl Algebra and its smash products with a finite group
I do not know much on recent developments related to the first three questions asked. However, i know of some old results related mainly to the fourth question:
If $A_1$ is the Weyl algebra over an al …
- 7,746
8
votes
Mathematical uses of string theory
If the question is set on the level of mentioning important "theorems" or "computations" or "results" which
wouldn‘t have been proved without the development of string theory
i think one could …
- 7,746
5
votes
1
answer
1k
views
Ideal generated by two univariate, coprime, integer polynomials
Let $f(x)$, $g(x)$ be two univariate, coprime, integer polynomials and let $I=\big(f(x),g(x)\big)$ the ideal of $\mathbb{Z}[x]$ generated by $f, g$. Let $I \cap \mathbb{Z}$, that is, the elements of $ …
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