Titlebook: De Rham Cohomology of Differential Modules on Algebraic Varieties; Yves André,Francesco Baldassarri,Maurizio Cailotto Book 2020Latest edit

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Ink Animation at Digital Media EraThe central topic of this chapter is the notion of regularity in several variables.The aim of this chapter is to provide a purely algebraic, systematic treatment of these questions (avoiding resolution of singularities beyond the case of surfaces).

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Cyber Security Intelligence and AnalyticsThis chapter completes our study of irregularity in several variables, in the geometric framework of integrable connections.

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Designing a New Hybrid Cryptographic ModelThis chapter develops a new approach to the study of direct images of connections (i.e., de Rham cohomology with coefficients, endowed with the Gauss-Manin connection) with respect to a smooth, not necessarily proper, morphism of smooth algebraic varieties in characteristic 0.

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Differential algebra,We start by introducing the Gauss and Kummer hypergeometric differential equations. These classical equations will reenter the stage at the beginning of several later chapters, serving as guiding examples to motivate and illustrate their content.

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