<ruby id="d9npn"></ruby>

      <sub id="d9npn"><progress id="d9npn"></progress></sub>

      <nobr id="d9npn"></nobr>

      <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

      <th id="d9npn"><meter id="d9npn"></meter></th>

      Stack Exchange Network

      Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

      Visit Stack Exchange

      Questions tagged [moduli-spaces]

      Given a concrete category C, with objects denoted Obj(C), and an equivalence relation ~ on Obj(C) given by morphisms in C. The moduli set for Obj(C) is the set of equivalence classes with respect to ~; denoted Iso(C). When Iso(C) is an object in the category Top, then the moduli set is called a moduli space.

      3
      votes
      0answers
      37 views

      Fibers of the Hilbert-Chow morphism vs local punctual Hilbert schemes

      Let $X$ be a curve over a scheme $k$: Let $H_{n,X}$ be the punctual scheme of $X$ parametrizing finite subschemes of degree $n$, and le $\varphi_{n,X}: H_{n,X} \rightarrow X^{(n)}$ be the Hilbert-Chow ...
      4
      votes
      0answers
      73 views

      moduli space of toric structures on a fixed toric variety (reference?)

      I'm looking for a reference on the following question: Given a fixed toric variety $V/k$, how to describe the moduli space of all toric structures on $V$? In addition to the general question, I ...
      11
      votes
      0answers
      189 views

      Conceptual explanation for $\chi(\mathcal{A_g})=\chi(\mathcal M_{1} \times … \times \mathcal M_{g})$?

      Let $\mathcal{A_g}$ be the moduli space of principally polarized abelian varieties over $\mathbb C$, $\mathcal{M_g}$ be the moduli space of smooth projective curves of genus $g$ over $\mathbb C$, and ...
      4
      votes
      0answers
      87 views

      Regularity of the modular curves $Y(N)$, $Y_1(N)$

      I'm reading the five chapter of the book of Katz-Mazur, Arithmetic moduli of elliptic curves, concerning regularity of the moduli problems of $\Gamma(N)$-structures, $\Gamma_1(N)$-structures and $\...
      9
      votes
      3answers
      566 views

      What is the official definition of $\mathcal{M}_g$ as an orbifold, and how much can I ignore it?

      There is a well-known description of $\mathcal{M}_g$ as $\mathcal{T}_g/\Gamma$ where $\mathcal{T}_g$ is the Teichmuller space and $\Gamma$ is the mapping class group. Teichmuller space is homeomorphic ...
      6
      votes
      0answers
      122 views

      Fano Schemes of Intersections of Quadrics

      Let $g\geqslant 2$, and denote by $\mathrm{X}=\mathrm{Q}_1\cap\mathrm{Q}_2\subset\mathbf{P}^{2g+1}$ a smooth intersection of quadrics. By considering the pencil generated by $\mathrm{Q}_1,\mathrm{Q}_2$...
      4
      votes
      1answer
      153 views

      Generators of the mapping class group for surfaces with punctures and boundaries

      Let $\Gamma_{g,b}^m$ denote the mapping class group of a genus $g$ surface with $b$ non-permutable parametrised boundary curves and $m$ permutable punctures. It is clear that in general, ...
      7
      votes
      1answer
      263 views

      Smoothness of the moduli space of Drinfeld modules

      I'm studying the proof of Thm 1.5.1. in Laumon's "Cohomology of Drinfeld Modular Varieties". Notation: $\mathfrak{m}$ is a square zero ideal of $\mathcal{O}$ and $k=\mathcal{O}/\mathfrak{m}$. Laumon ...
      4
      votes
      0answers
      217 views

      What is the analogy between the moduli of shtukas and Shimura varieties?

      I have heard that moduli spaces of shtukas are supposed to be the analogue of Shimura varieties in the setting of function fields. Could someone more knowledgeable about these objects explain how this ...
      2
      votes
      0answers
      85 views

      The moduli scheme of “$\nu$-canonically embeded curves”

      This is related to the proposition 5.1. of Mumford's GIT. It states that: There is a unique subscheme $H$ in the Hilbert scheme $Hilb_{\mathbb{P}^n}^{P(x)}$ such that, for any morphism $f : S \to ...
      2
      votes
      0answers
      191 views

      The moduli scheme of smooth curves of given genus is irreducible

      I've heard that Deligne-Mumford's "the irreducibility..." showed this first. But I think that Mumford's "Geometric invariant theory" has its proof. The proof is as follows: Let $H$ be the scheme that ...
      1
      vote
      0answers
      172 views

      Level structures in deformation spaces of $p$-divisible groups

      I am reading (parts of) the paper "Moduli of $p$-divisible groups" by Scholze and Weinstein, and I am stuck at understanding the definition of level structures in Rapoport-Zink spaces (cf. Definition ...
      4
      votes
      0answers
      147 views

      Torsor descriptions of $Bun_G$

      The moduli stack $Bun_{SL_n}X$ of $SL_n$-principal bundles over a projective curve $X$ is a $\mathbb{G}_m$-torsor over the sublocus of $Bun_{GL_n}X$ corresponding to vector bundles with zero ...
      4
      votes
      0answers
      45 views

      Complexifed Gauge action on determinant line bundle and change of metric

      Within the GIT setup for Hermitian-Einstein connection, Donaldson exhibited a holomorphic line bundle over $\mathcal{A}$ the space of unitary connections such that its cutvature equals $?2πi\Omega$ ...
      6
      votes
      1answer
      271 views

      Objects with trivial automorphism group

      Suppose I am working with a category of objects such that each object $X$ in the category has as a trivial automorphism group. An example of such an object would be genus zero curves with $n$-...

      15 30 50 per page
      特码生肖图
      <ruby id="d9npn"></ruby>

          <sub id="d9npn"><progress id="d9npn"></progress></sub>

          <nobr id="d9npn"></nobr>

          <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

          <th id="d9npn"><meter id="d9npn"></meter></th>

          <ruby id="d9npn"></ruby>

              <sub id="d9npn"><progress id="d9npn"></progress></sub>

              <nobr id="d9npn"></nobr>

              <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

              <th id="d9npn"><meter id="d9npn"></meter></th>