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Classification themes in algebraic geometry and algebraic groups. (English) Zbl 0845.14001

These lecture notes introduce to algebraic geometry and to algebraic groups by giving an overview of some prominent topics: classification of curves and surfaces, Weil conjectures, classification of simple algebraic groups and their highest weight modules, standard monomial bases. The author presents a lot of results using a minimum of technical language.

MSC:

14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry
14L35 Classical groups (algebro-geometric aspects)
20G15 Linear algebraic groups over arbitrary fields
20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
14J10 Families, moduli, classification: algebraic theory
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