List questions from several-complex-variables

Published on 28 Mar 2015 - 7:10

1k

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Chain rule in several complex variables: Wirtinger derivatives

Published on 29 Mar 2015 - 0:10

106

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Is this the hessian bilinear form or $1/2$ of it?

Published on 30 Mar 2015 - 23:34

52

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What is the definition of the conformal class of a bilinear form?

Published on 01 Apr 2015 - 1:57

106

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Does in this case exist necessarely an eigenvalue equal to $0$?

Published on 01 Apr 2015 - 2:07

205

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What are the real and imaginary parts of the complex function?

Published on 04 Apr 2015 - 20:11

96

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How can I prove the hypersurface $M$ is neither convex nor concave?

Published on 05 Apr 2015 - 10:12

439

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How can I prove that $\operatorname{hess}r(iu,iu)\neq-\operatorname{hess}r(u,u)$?

Published on 05 Apr 2015 - 23:36

455

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Gluing together holomorphic functions on $\mathbb{P}^n$

Published on 14 Apr 2015 - 23:49

1k

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$f$ is holomorphic iff $df$ is $\Bbb C$-linear

Published on 15 Apr 2015 - 16:12

463

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Complex hypersurface globally defined

Published on 16 Apr 2015 - 9:16

2.7k

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How is the boundary in product spaces defined?

Published on 17 Apr 2015 - 15:07

224

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Cauchy formula in Polydisks

Published on 19 Apr 2015 - 19:19

46

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Radii problem in a power series

Published on 24 Apr 2015 - 23:53

90

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Holomorphic curve with unit norm

Published on 25 Apr 2015 - 0:21

List Question

Local normal form of a (several complex variable) holomorphic map at a point?

Chain rule in several complex variables: Wirtinger derivatives

Is this the hessian bilinear form or $1/2$ of it?

What is the definition of the conformal class of a bilinear form?

Does in this case exist necessarely an eigenvalue equal to $0$?

What are the real and imaginary parts of the complex function?

How can I prove the hypersurface $M$ is neither convex nor concave?

How can I prove that $\operatorname{hess}r(iu,iu)\neq-\operatorname{hess}r(u,u)$?

Gluing together holomorphic functions on $\mathbb{P}^n$

$f$ is holomorphic iff $df$ is $\Bbb C$-linear

Complex hypersurface globally defined

How is the boundary in product spaces defined?

Cauchy formula in Polydisks

Radii problem in a power series

Holomorphic curve with unit norm

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