Questions tagged [moduli-space]

I have the following problem. Let $\mathcal{M}$ be the set of isomorphism classes of invertible complex 3$\times$3 matrices. If we have a variety $X$, a family over $X$ is a matrix $A(x)$ with coefficients in $\mathcal{O}(X)$ such that $A(x)$ is…

I watched wikipedia page Moduli space, and the definition of $n$-marked moduli space as follow One can also enrich the problem by considering the moduli stack of genus $g$ nodal curves with $n$ marked points. Such marked curves are said to be…

Let $V\in G(k,n)$. A family of $k$-dimensional subspaces (of $\Bbb{C}^n$) $\rho:V\to B$ parameterized by a variety $B$ induces a map of sets $B\to G(k,n)$ (taking a point $b\in B$ to the class of the fiber $\rho^{-1}(b)$). This map of sets is…