By David Goldschmidt
This publication supplies an creation to algebraic services and projective curves. It covers quite a lot of fabric via meting out with the equipment of algebraic geometry and continuing at once through valuation thought to the most effects on functionality fields. It additionally develops the idea of singular curves by means of learning maps to projective house, together with issues similar to Weierstrass issues in attribute p, and the Gorenstein kin for singularities of airplane curves.
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Algebraic Functions and Projective Curves (Graduate Texts in Mathematics) by David Goldschmidt