<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 [complex-geometry]

      Complex geometry is the study of complex manifolds and complex algebraic varieties, and, by extension, of almost complex structures. It is a part of both differential geometry and algebraic geometry.

      Filter by
      Sorted by
      Tagged with
      4
      votes
      1answer
      62 views

      Structure of the module of derivations on the space of Holomorphic functions

      Maybe this is well-known, maybe not. Let $\Omega\subset \mathbb{C}$ be connected open and non-empty. It can be shown that if $d\in\mathfrak{Der}(\mathcal{H}(\Omega))$ (i.e. $d$ is a derivation of ...
      1
      vote
      0answers
      23 views

      Constructing certain Global section with prescribed zero locus over Stein manifold

      Let $X^n$ be a Stein manifold (complex submanifold in $\mathbb{C}^N$ for some large $N$). Let $D = \{(z,z)\in X\times X: z\in X\}$ be the diagonal in $X\times X$. I'm looking for some holomorphic ...
      2
      votes
      0answers
      49 views

      Understanding the universal sheaf locally

      Suppose I have a projective, flat morphism $\pi : X \to S$ between smooth projective varieties over $\mathbb{C}$. By the work of Simpson, there exists a moduli space $M = M(X/S, v)$ of torsion-free (...
      1
      vote
      0answers
      32 views

      Field of definition from deformation rigidity

      It is known that a smooth complex quasi-projective variety which is deformation-rigid (e.g. any holomorphic deformation inside an ambient space is trivial) can be defined over a number field. Can one ...
      2
      votes
      0answers
      74 views

      Existence of finite etale covering and cohomology of the profinite completion of the fundamental group

      Let $X$ be a connected complex-analytic space. , $G = \pi_1(X)$ the fundamental group of $X$ , $\hat{G}=\varprojlim G/N$ its profinite completion. Let $\beta\in H^2(X,\mathcal{O}_X^\times).$, say ...
      3
      votes
      0answers
      61 views

      Where can I learn about the discrete symmetries of the complex projective plane (or space)?

      I understand that $CP^1$ is the Riemann Sphere. I guess all its discrete symmetries were known for a long time and well-classified. (But suggestions or good references where this is worked out in a ...
      1
      vote
      0answers
      133 views

      Holomorphic functions to complex torus

      Let $X$ be a complex algebraic variety and $T$ a complex torus (not necessarily algebraic). Assume that $X$ is a proper subset of its completion $\bar{X}$. Let $f:X \to T$ be a holomorphic map. Are ...
      4
      votes
      0answers
      96 views

      Bridgeland stability for restricted Kahler moduli?

      Let $X$ be a simply-connected, smooth, projective Calabi-Yau threefold. To my understanding, Bridgeland introduced stability conditions on triangulated categories to give a proper mathematical ...
      5
      votes
      1answer
      171 views

      Locally affine varieties and du Val singularities

      Let me start with an apologetic disclaimer: I am very far from an algebraic geometer, so this question might be crudely formulated. I have a specific question about du Val singularities, but while ...
      13
      votes
      1answer
      295 views

      Does the $\overline{\partial}$ operator have closed image?

      Let $X$ be a complex-analytic manifold, not necessarily compact. Does $\overline{\partial} : C^\infty(X) \rightarrow \Omega^{0,1}(X)$ have closed image with respect to the Fréchet topology given by ...
      1
      vote
      1answer
      60 views

      Disk with punctures and convex geodesical hull of the punctures isomorphic?

      Consider a unit disk with marked points $z_i$, $i=1, \dots , n$ on its boundary. Let us call this surface $X$. As it is well known, the disk can be equipped with an hyperbolic metric and is then ...
      3
      votes
      0answers
      78 views

      Spectral gaps for spin manifold Laplace spectrum

      For a (compact) spin manifold, we know that the eigenvalues $\lambda_n$ of the Dirac operator are countable, with finite multiplicity, and satisfy $$ |\lambda_n| \to \infty, ~~~ \text{ as } n \to \...
      1
      vote
      0answers
      78 views

      Condition for Integrability of an Almost Complex Structure

      The following question concerns a remark made in the paper: Lebrun, C., Complete Ricci-flat K?hler metrics on $\mathbb{C}^n$ need not be flat, Proceedings of Symposia in Pure Mathematics, Volume 52 ...
      2
      votes
      0answers
      187 views

      Is $h^1(X,O_X)$ always equal to the dimension of the Albanese?

      Let $X$ be a projective integral scheme over $\mathbb{C}$. If $X$ is smooth, then $\mathrm{h}^1(X,\mathcal{O}_X)$ is the dimension of the Albanese variety of $X$. Probably, even if $X$ is normal, ...
      3
      votes
      0answers
      95 views

      Toric Fan for the Du Val's singularities D_n and E_n

      Let us consider the Du Val's singularities. i.e. https://en.wikipedia.org/wiki/Du_Val_singularity. It is well known that they are classified by ADE, because the exceptional divisors arising in the ...

      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>

              最可靠的投注平台 3分赛app 福建11选5开奖走势图彩经网 山东时时官方开奖 重庆时时改为20分钟 黑龙江11选5前二值走势图 2017年开的历史结果 大上海时时平台 美女捕鱼图片大全免费下载 老北京pk记录