By David Goldschmidt
This booklet supplies an advent to algebraic services and projective curves. It covers quite a lot of fabric by way of shelling out with the equipment of algebraic geometry and continuing at once through valuation concept to the most effects on functionality fields. It additionally develops the speculation of singular curves through learning maps to projective house, together with themes akin 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