Comptes Rendus
no. 1-2
Complex Analysis
Squares of positive (p,p)-forms

Presented by: Jean-Pierre Demailly

Zbigniew Błocki1; Szymon Pliś2
1 Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348 Kraków, Poland
2 Instytut Matematyki, Politechnika Krakowska, Warszawska 24, 31-155 Kraków, Poland
Comptes Rendus. Mathématique, Volume 351 (2013) no. 1-2, pp. 27-32.

We show that if α is a positive (2,2)-form, then so is α2. We also prove that this is no longer true for forms of higher degree.

Nous montrons que si α est une (2,2)-forme positive alors α2 lʼest aussi. Nous prouvons également que ceci nʼest plus vrai pour les formes de degré supérieur.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.01.009

Zbigniew Błocki 1; Szymon Pliś 2

1 Instytut Matematyki, Uniwersytet Jagielloński, Łojasiewicza 6, 30-348 Kraków, Poland
2 Instytut Matematyki, Politechnika Krakowska, Warszawska 24, 31-155 Kraków, Poland 
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Zbigniew Błocki; Szymon Pliś. Squares of positive $ (p,p)$-forms. Comptes Rendus. Mathématique, Volume 351 (2013) no. 1-2, pp. 27-32. doi : 10.1016/j.crma.2013.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.01.009/

[1] E. Bedford, B.A. Taylor, Simple and positive vectors in the exterior algebra of Cn, preprint, 1974.

[2] J.-P. Demailly, Complex Analytic and Differential Geometry, monograph, 1997, available at http://www-fourier.ujf-grenoble.fr/~demailly.

[3] S. Dinew, On positive C(2,2)(C4) forms, preprint, 2006.

[4] J. Harris Algebraic Geometry. A First Course, Grad. Texts in Math., vol. 133, Springer, 1995

[5] R. Harvey; A.W. Knapp Positive (p,p) forms, Wirtingerʼs inequality, and currents (R.O. Kujala; A.L. Vitter, eds.), Value Distribution Theory, Part A, Dekker, 1974, pp. 43-62

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