An Undergraduate Primer in Algebraic Geometry

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The book offers a comprehensive introduction to algebraic geometry, beginning with fundamental concepts such as affine and projective varieties, along with key attributes and examples. The second part delves into the theory of curves, exploring local properties, affine and projective plane curves, and the resolution of singularities. It also covers important topics like linear equivalence of divisors, linear series, and the Riemann-Roch and Riemann-Hurwitz Theorems, providing a thorough understanding of both foundational and advanced topics in the field.