<em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

    <em id="zlul0"></em>

      <dl id="zlul0"></dl>
        <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
        <em id="zlul0"></em>

        <div id="zlul0"><ol id="zlul0"></ol></div>

        Stack Exchange Network

        Stack Exchange network consists of 174 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

        Complex geometry is the study of complex manifolds and complex algebraic varieties. It is a part of both differential geometry and algebraic geometry.

        1
        vote
        1answer
        156 views

        Some questions about Clemens' paper Cohomology and Obstructions I: Geometry of formal Kuranishi theory

        I am reading the paper Cohomology and Obstructions I: Geometry of formal Kuranishi theory written by Herbert Clemens. I have found this paper hard to follow even though I am familiar with the ...
        1
        vote
        0answers
        81 views

        Holomorphic map, Instantons of Complex Projective Space and Loop Group

        It seems that holomorphic (or rational) maps play a crucial role to relate the following data: Instanton in 1-dimensional complex Projective Space $$\mathbb{P}^1$$ in a 2 dimensional (2d) spacetime. ...
        3
        votes
        0answers
        77 views

        Periods for Irreducible Holomorphic Symplectic Manifolds

        Let $f:\mathscr{X}\rightarrow \operatorname{Def(X)}$ be the Kuranishi family of $X$, where $X$ is an irreducible holomorphic symplectic manifold. After shrinking $\operatorname{Def}(X)$, we get that ...
        9
        votes
        1answer
        276 views

        Is the complement of an affine open in an abelian variety ample?

        Let $U$ be an affine open subscheme of an abelian variety $A$ over $\mathbb{C}$. Is $A-U$ an ample divisor? If $\dim A =1$ this is true. If $\dim A = 2$, the complement is a divisor $D_1+\ldots + ...
        8
        votes
        1answer
        295 views

        What is the “analytic” analogue of the valuative criterion of properness

        Let $X$ be a Hausdorff complex analytic space. Below, let $D$ be the open unit disc in $\mathbb{C}$. Let $D^*$ be the punctured open unit disc. I am looking for an analogue of the valuative criterion ...
        13
        votes
        3answers
        521 views

        How to find a conformal map of the unit disk on a given simply-connected domain

        By the classical Riemann Theorem, each bounded simply-connected domain in the complex plane is the image of the unit disk under a conformal transformation, which can be illustrated drawing images of ...
        6
        votes
        2answers
        104 views

        Embedding open connected Riemann Surfaces in $\mathbb{C}^2$

        This question arises in the context of a question asked on MSE: Are concrete Riemann surfaces Riemann domains over $\mathbb{C}$. Part of the answer to that question is the question above which is ...
        1
        vote
        0answers
        45 views

        Openness of regular mappings and the conjugacy of Cartan subalgebras

        In the book Lie Algebras of finite and affine type by Roger Carter, in chapter 3, the conjugacy of Cartan subalgebras of a finite-dimensional Lie algebra over $\mathbb{C}$ is established via a ...
        3
        votes
        0answers
        53 views

        Is a domain of a holomorphic flow pseudoconvex?

        Let $Z$ be a holomorphic vector field on $\mathbb{C}^n$. I would like to know whether (it seems that it is) the domain $D_\phi \subset \mathbb{C} \times \mathbb{C}^n$ of a maximal flow $\phi: D_\phi \...
        26
        votes
        3answers
        909 views

        References for Riemann surfaces

        I know this question has been asked before on MO and MSE (here, here, here, here) but the answers that were given were only partially helpful to me, and I suspect that I am not the only one. I am ...
        6
        votes
        0answers
        150 views

        Diffeomorphism type of Ricci-flat four manifolds

        Let $(M,g)$ be an irreducible compact and simply connected Ricci-flat Riemannian four-manifold. My first questions are as follows: A) Is there a classification of the possible homeomorphism types of ...
        3
        votes
        1answer
        99 views

        The ample cone of a surface with an algebraic $\mathbb C^*$ action

        Let $X$ be a compact complex protective surface that admits a nontirvial algebraic $\mathbb C^*$-action. It seems to me, that the ample cone of $X$ is polyhedral with finite number of faces. I wonder ...
        6
        votes
        1answer
        238 views

        Cohomology of neighborhood of $\mathbb{C}\mathbb{P}^1$ in $\mathbb{C}\mathbb{P}^n$

        Let $\mathbb{C}\mathbb{P}^1$ be embedded linearly to $\mathbb{C}\mathbb{P}^n$ with $n>1$. (Such an embedding is given in coordinates by $[x:y]\mapsto [x:y:0:\dots: 0]$.) Is it true that for any ...
        3
        votes
        0answers
        115 views

        Cohomology of a tubular neiborhood of submanifold vs cohomology of the formal neighborhood

        Let $X$ be a smooth complex analytic manifold. Let $Z\subset X$ be a smooth compact analytic submanifold. Let $\hat Z$ be the formal neighborhood of $Z$. Let $U$ be an open neighborhood of $Z$. Is ...
        5
        votes
        1answer
        416 views

        Are there enough meromorphic functions on a compact analytic manifold?

        Let $X$ be a compact complex analytic manifold, $D\subset X$ an irreducible smooth divisor, given as zeroes of a global meromorphic function $f\in {\mathfrak M} (X)$. Are there enough other ...

        15 30 50 per page
        山西福彩快乐十分钟
          <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

          <em id="zlul0"></em>

            <dl id="zlul0"></dl>
              <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
              <em id="zlul0"></em>

              <div id="zlul0"><ol id="zlul0"></ol></div>
                <em id="zlul0"></em><dl id="zlul0"><menu id="zlul0"></menu></dl>

                <em id="zlul0"></em>

                  <dl id="zlul0"></dl>
                    <div id="zlul0"><tr id="zlul0"><object id="zlul0"></object></tr></div>
                    <em id="zlul0"></em>

                    <div id="zlul0"><ol id="zlul0"></ol></div>