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Algebraic criteria for Kobayashi hyperbolic projective varieties and jet differentials JeanPierre Demailly Universit de Grenoble I, Institut Fourier Lecture Notes of a Course given at Santa Cruz (CA,

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What is hyperbolic algebraic varieties and?

Hyperbolic algebraic varieties are complex algebraic varieties with a certain negative curvature.

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Researchers and mathematicians working in algebraic geometry may be required to file hyperbolic algebraic varieties.

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To fill out hyperbolic algebraic varieties, one must provide detailed information about the algebraic variety and its properties.

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The purpose of studying hyperbolic algebraic varieties is to understand their geometric and algebraic properties.

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Information such as the equations defining the algebraic variety, its dimension, and its curvature must be reported on hyperbolic algebraic varieties.

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