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Algebraic geometry (as a book category) covers the study of geometric objects defined by polynomial equations and the algebraic, topological and categorical methods used to analyze them. It ranges from classical treatments of affine and projective varieties and curves to modern scheme-theoretic foundations, sheaf and cohomology techniques, intersection and birational theory, and moduli problems, and includes computational and applied directions (e.g., computational algebraic geometry, arithmetic geometry, links to complex geometry and physics). Titles in this category include introductory and advanced textbooks, graduate lecture notes, research monographs and problem collections, typically aimed at advanced undergraduates, graduate students and researchers with backgrounds in algebra, topology and basic complex analysis.

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