<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>

      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.

      Filter by
      Sorted by
      Tagged with
      2
      votes
      1answer
      183 views

      Purity and skyscraper sheaves

      In "The Geometry of moduli spaces of sheaves" a coherent sheaf $\mathcal{F}$ is defined to be pure of dimension $d$ if dim$(\mathcal{E})=d$ for all non-trivial proper subsheaves $\mathcal{E} \subset \...
      2
      votes
      0answers
      105 views

      Coarse underlying curve of a smooth stable curve

      In the theory of moduli spaces of smooth stable curves with $n$-marked points, I have come across the notion of the coarse underlying curve. Let $C$ be a smooth stable genus $g$ curve with $n$-marked ...
      6
      votes
      1answer
      236 views

      Progress on Bondal–Orlov derived equivalence conjecture

      In their 1995 paper, Bondal and Orlov posed the following conjecture: If two smooth $n$-dimensional varieties $X$ and $Y$ are related by a flop, then their bounded derived categories of coherent ...
      2
      votes
      0answers
      41 views

      Picard group of the moduli space of semistable rank 2 parabolic vector bundles over smooth complex projective curves with trivial determinant

      I am looking for the Picard group of the moduli space of semistable rank 2 parabolic vector bundles over smooth complex projective curves with trivial determinant. Having determinant trivial, I ...
      2
      votes
      1answer
      243 views

      Representability of Grassmannian functor by a scheme

      I am having some trouble following a proof that the Grassmannian functor is representable by a scheme. I am following the proof in EGA 9.7.4. It is only a small step that I am stuck on. For reference, ...
      1
      vote
      0answers
      89 views

      Base change and family of stable maps

      Suppose that family F of stable maps given by maps $f:C \to S,\mu:C \to P^r$ and sections $\rho_i:S \to C$ Suppose that $\Sigma(F)$ be union of all one dimensional components of locus of nodes in ...
      5
      votes
      1answer
      179 views

      Coarse moduli space versus Kuranishi family

      We will work over complex number field $\mathbb{C}$. Let $\mathscr{M}_h$ be the moduli functor for canonically polarized manifolds with $h$ the Hilbert polynomial. Let us denote by $M_h$ the coarse ...
      1
      vote
      0answers
      81 views

      Log-canonical bundle of a smooth curve with marked points

      I am not sure if this question is appropriate for this site, but here it goes. I am not a geometer, so I am not familiar with notation in the area. I am interested in the moduli space of $r$-spin ...
      4
      votes
      1answer
      133 views

      Orientability of moduli space and determinant bundle of ASD operator

      Setting In instanton gauge theory, given a $G$-principal bundle $P\to X^4$, the orientability of the moduli space of ASD connections $$\mathcal{M}_k = \{A \in L^{2}_{k}(X, \Lambda^1 \otimes\mathrm{...
      6
      votes
      0answers
      54 views

      “Moduli space” of isotropic convex bodies?

      A lot of questions in convex geometry revolve around the geometry of isotropic convex bodies in $\mathbb{R^n}$. To my knowledge there is no, or very little study of a space such as : $$C_n = \{...
      3
      votes
      0answers
      80 views

      The moduli space of genus $0$ curves with $n$-punctures and complete linear systems on $\mathbb{P}_k^1$

      Let $\mathbb{P}_k^1$ be the projective line over an algebraically closed field $k$. The points of $(\Gamma(\mathbb{P}_k^1, \mathcal{O}_{\mathbb{P}_k^1}(n))-\{0\})/k^* = \mathbb{P}_k^n$ corresponds to ...
      3
      votes
      0answers
      121 views

      Stable maps with irreducible domain are dense in moduli space of stable maps of genus zero

      there is a famous lemma which says: if $Y$ and $W$ are flat,projective schemes over $S$ and $s \in S$ be a geometric point and $Y_s$ and $W_s$ be fibers over $s$ and $f:Y_s \to W_s$ be a morphism then ...
      1
      vote
      1answer
      121 views

      Lie bracket on the complex valued functions of the space of representations of a Riemann surface

      Let $S$ be a closed surface and $G$ be a reductive Lie group. Goldman (Invariant functions on Lie groups and Hamiltonian flows of surface group representations) proved that, for a fairly general class ...
      3
      votes
      1answer
      127 views

      Dimension of Moduli space of Parabolic $G$- Higgs bundles

      I am looking at Usha Bhosle's paper on Moduli of Parabolic $G$-bundles. She calculated the dimension of the moduli space. Now I want to know the the dimension of the moduli of parabolic $G$-Higgs ...
      3
      votes
      0answers
      56 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 ...

      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>

              cpu挖莱特币软件 帕尔马玫瑰多头还是单头 马塞对圣埃蒂安 精准一尾中特论坛 千斤顶或更好50手救援彩金 pc蛋蛋幸运28计划软件 体彩22选5开奖结果 梦幻诛仙官网礼包 无限法则同人图 爱赢国际娱乐城代理