Universal property of blow up of complex analytic space The Next CEO of Stack OverflowReference for Algebraic GeometryA very general question about blow-up for experienced symplectic topologists and algebraic geometersAlgebraic proof of a result on blow-ups in Griffiths--HarrisResidues and integration along singular analytic hypersurfaceTwo definitions of holomorphic vector bundleThree 'equivalent' definitions of a holomorphic vector bundleUniversal cover and Deck transformation of a complex manifoldUniversal property of the product of two smooth manifoldsBlow-up of affine space along subvarietyProper actions in complex geometry

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Universal property of blow up of complex analytic space



The Next CEO of Stack OverflowReference for Algebraic GeometryA very general question about blow-up for experienced symplectic topologists and algebraic geometersAlgebraic proof of a result on blow-ups in Griffiths--HarrisResidues and integration along singular analytic hypersurfaceTwo definitions of holomorphic vector bundleThree 'equivalent' definitions of a holomorphic vector bundleUniversal cover and Deck transformation of a complex manifoldUniversal property of the product of two smooth manifoldsBlow-up of affine space along subvarietyProper actions in complex geometry










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$begingroup$


I know that there is a universal property of blow-ups in the algebraic setting (see Wikipedia).

How does this translate to the case of complex geometry and holomorphic/bimeromorphic maps?
I am particularly interested in the case of a blow up of a complex orbifold.



A statement of the universal property together with a reference would be enough. But of course, I prefer if you also write a (sketch of a) proof.

Please note that I am not very familiar with algebraic geometry, so keep things simple and smooth.










share|cite|improve this question









$endgroup$
















    1












    $begingroup$


    I know that there is a universal property of blow-ups in the algebraic setting (see Wikipedia).

    How does this translate to the case of complex geometry and holomorphic/bimeromorphic maps?
    I am particularly interested in the case of a blow up of a complex orbifold.



    A statement of the universal property together with a reference would be enough. But of course, I prefer if you also write a (sketch of a) proof.

    Please note that I am not very familiar with algebraic geometry, so keep things simple and smooth.










    share|cite|improve this question









    $endgroup$














      1












      1








      1


      1



      $begingroup$


      I know that there is a universal property of blow-ups in the algebraic setting (see Wikipedia).

      How does this translate to the case of complex geometry and holomorphic/bimeromorphic maps?
      I am particularly interested in the case of a blow up of a complex orbifold.



      A statement of the universal property together with a reference would be enough. But of course, I prefer if you also write a (sketch of a) proof.

      Please note that I am not very familiar with algebraic geometry, so keep things simple and smooth.










      share|cite|improve this question









      $endgroup$




      I know that there is a universal property of blow-ups in the algebraic setting (see Wikipedia).

      How does this translate to the case of complex geometry and holomorphic/bimeromorphic maps?
      I am particularly interested in the case of a blow up of a complex orbifold.



      A statement of the universal property together with a reference would be enough. But of course, I prefer if you also write a (sketch of a) proof.

      Please note that I am not very familiar with algebraic geometry, so keep things simple and smooth.







      differential-geometry reference-request complex-geometry blowup






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked yesterday









      abdulabdul

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