Complex projective surfaces (i.e. complex surfaces endowed with a holomorphic global section of the anticanonical bundle) play a major role in theory of algebraically completely integrable systems. In this paper we study the case of complex projective Poisson surfaces. We prove a classification theorem and count how many independent Poisson structures there are on a given Poisson projective surface.
Classification of Poisson surfaces
BARTOCCI, CLAUDIO;
2005-01-01
Abstract
Complex projective surfaces (i.e. complex surfaces endowed with a holomorphic global section of the anticanonical bundle) play a major role in theory of algebraically completely integrable systems. In this paper we study the case of complex projective Poisson surfaces. We prove a classification theorem and count how many independent Poisson structures there are on a given Poisson projective surface.
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