The Reduction of the Singularities of an Algebraic Surface

1939/07/01 by Oscar Zariski · 101 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebra over a field #Algebraic number #Algebraic surface #Commutative Algebra and Its Applications #Geometry #Good reduction #Gravitational singularity #Mathematical analysis #Mathematics #Polynomial and algebraic computation #Pure mathematics #Reduction (mathematics) #Surface (topology)

paper · doi:10.2307/1968949

published in The Annals of Mathematics 40(3), 639 (JSTOR)

crossref issued 1939/07/01 · crossref published 1939/07/01 · crossref published-print 1939/07/01 · openalex publication_date 1939/07/01 · crossref created 2006/04/24 · crossref deposited 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06 · crossref indexed 2026/03/11

Citations

• Darstellung der Funktionen eines algebraischen Körpers zweier unabhängigen Veränderlichen x, y in der Umgebung einer Stelle x = a, y = b.
• Trasformazione birazionale di una superficie algebrica qualunque in un’altra priva di punti multipli
• Some Results in the Arithmetic Theory of Algebraic Varieties

Cited by

• Resolution of singularities [wikipedia]