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A Concise Introduction to Algebraic Varieties by Brian Osserman serves as an introductory text on abstract algebraic varieties over algebraically closed fields, suitable for a one-semester course. It covers fundamental concepts such as affine and projective varieties, regular functions, and morphisms, while also addressing local and global properties like nonsingularity and completeness. The book concludes with discussions on the Riemann-Roch theorem and Brill-Noether theory, providing a foundation for furt

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eliasspencetwhf

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