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42,75 €Preface (pag. VII-IX)
Manin kernels (pag. 1-22)
Forking in the category of existentially closed structures (pag. 23-42)
Uniform bounds in algebraic geometry and commutative algebra (pag. 43-94)
An intermediate value property for first-order differential polynomids (pag. 95-106)
On exponentiation - A solution to Tarski’s high school algebra problem (pag. 107-130)
Dimensions and homogeneity in mathematical structures (pag. 131-148)
Approximating volumes and integrals in o-minimal and p-minimal theories (pag. 149-178)
Weil cohomology and model theory (pag. 179-208)
The papers in this collection provide a sample of recent work connecting model theory and geometry. The theme is dominant in the contermporary model theory, and there are many beautiful variations. One is now more concerned with understanding definitions and the geometry of what they define in classical structures (like locally compact fields, or algebric closures of finite fields) than in the study per se of exotic models (of familiar axioms). But one is foolish to throw away good ideas, and one will certainly see in this volume more abstract, or even set-theoretic, techniques combined with geometric ones.
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