Titlebook: An Undergraduate Primer in Algebraic Geometry; Ciro Ciliberto Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusi

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Affine and Projective Algebraic Sets,Let . be a field that throughout the whole book will be assumed to be algebraically closed. This will be the . over which we will consider all the geometric objects we will construct in this book.

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Basic Notions of Elimination Theory and Applications,Let . be any, not necessarily algebraically closed, field. We will denote by . its algebraic closure. A system of algebraic equations .is said to be . if . in ..

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