TEORIA DEL CAMPO | I EDIZ. 1971 | A. MARCOLLI

Teoria del campo, by Alberto Marcolli (first edition 1971), presents a rigorous and original investigation into field theory at the crossroads of algebraic geometry, number theory, and topology. Marcolli develops an advanced theoretical framework connecting classical field extensions with emerging insights from category theory and cohomology. Through precise exposition and illustrative examples, he explores Galois groups, valuation theory, local/global principles, and topological field spaces. Anchored in mid–20th-century Italian mathematical tradition, this volume contributed significantly to bridging algebraic and geometric perspectives. As a seminal resource, it offers scholars access to early models later refined in the study of categorical field invariants and arithmetic geometry.