
doi: 10.1007/bf01761476
The author proves a variant of a theorem of Severi giving a geometric interpretation of Noether's \(Af+Bg\) theorem. The key point is the notion of imaginary multiplicity he introduces to replace the virtual multiplicity of Severi.
Polynomial rings and ideals; rings of integer-valued polynomials, Noether's \(Af+Bg\) theorem, Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry, Relevant commutative algebra, virtual multiplicity, Polynomials over commutative rings, imaginary multiplicity
Polynomial rings and ideals; rings of integer-valued polynomials, Noether's \(Af+Bg\) theorem, Special algebraic curves and curves of low genus, Projective techniques in algebraic geometry, Relevant commutative algebra, virtual multiplicity, Polynomials over commutative rings, imaginary multiplicity
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