Titlebook: How Many Zeroes?; Counting Solutions o Pinaki Mondal Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license

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Pinaki Mondalthe subjects of intense study by geneticists because their distinct functions are associated with specific nonoverlapping domains within the molecule. Experimenters can use site-specific mutagenesis to eliminate only one function while preserving others. Examples of genes kept nonfunctional by inser

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the subjects of intense study by geneticists because their distinct functions are associated with specific nonoverlapping domains within the molecule. Experimenters can use site-specific mutagenesis to eliminate only one function while preserving others. Examples of genes kept nonfunctional by inser

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https://doi.org/10.1007/978-3-030-75174-6Number of solutions/zeros of systems of polynomials; affine Bezout problem; Bezout‘s theorem; Bernstein

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Convex polyhedrans . and . we prove the equivalence of these definitions after introducing the basic terminology. The rest of the chapter is devoted to different properties of polytopes which are implicitly or explicitly used in the forthcoming chapters.

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Toric varieties over algebraically closed fieldsapters . and .; only in section . we use the notion of . discussed in section .. Unless explicitly stated otherwise, from this chapter onward . denotes an algebraically closed field (of arbitrary characteristic), and . denotes ..

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Introduction,This book is about the problem of computing the number of solutions of systems of polynomials, or equivalently, the number of points of intersection of the sets of zeroes of polynomials. In this section we formulate the precise version of the problem we are going to study and give an informal description of the results.

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A brief history of points at infinity in geometry,In this chapter we give a brief historical overview of the concept of points at infinity in geometry and the subsequent introduction of homogeneous coordinates on projective spaces.

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