Semigroups associated to singular points of plane curves.

DOI10.1515/crll.1982.336.165zbMath0484.14008OpenAlexW4244398689MaRDI QIDQ3943068

Arnaldo Garcia

Publication date: 1982

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002199858

zbMATH Keywords

intersection numbertwo branchesvaluation idealssingularity of plane curve

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Singularities of curves, local rings (14H20)

Related Items (24)

Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings ⋮ The semigroup of values of a curve singularity with several branches ⋮ On the poles of regular differentials of singular curves ⋮ Zeta functions and Cartier divisors on singular curves over finite fields ⋮ On the Colength of Fractional Ideals ⋮ The analytic classification of plane curves ⋮ Embedding Dimension of a Good Semigroup ⋮ The value semiring of an algebroid curve ⋮ The Apéry Set of a Good Semigroup ⋮ Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\) ⋮ The canonical module of a one-dimensional reduced local ring ⋮ Good subsemigroups of ℕn ⋮ The tree of good semigroups in \(\mathbb{N}^2\) and a generalization of the Wilf conjecture ⋮ Gorenstein curves and symmetry of the semigroup of values ⋮ The analytic classification of plane curves with two branches ⋮ The type of a good semigroup and the almost symmetric condition ⋮ Arf good semigroups with fixed genus ⋮ Local and global zeta-functions of singular algebraic curves ⋮ The semigroup of a singular point of a curve with two equisingular branches ⋮ Partition of the complement of good semigroup ideals and Apéry sets ⋮ The semigroup of values of a one-dimensional local ring with two minimal primes ⋮ On value sets of fractional ideals ⋮ Semigroup of two irreducible algebroid plane curves ⋮ Weierstrass weight of Gorenstein singularities with one or two branches

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