Enumerative Algebraic Geometry of Conics

2008/10/01 by Andrew Clark Bashelor, Amy Ksir, Will Traves · 1 citation
Computer Science · Mathematics · #Algebra over a field #Algebraic geometry #Algebraic number #Commutative Algebra and Its Applications #Conic section #Derived algebraic geometry #Geometry #Mathematical analysis #Mathematics #Mathematics and Applications #Polynomial and algebraic computation #Pure mathematics

paper · doi:10.1080/00029890.2008.11920584

openalex publication_date 2008/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

sity of Berlin, posed the following problem [19]: Given five conics in the plane, are there any conics that are tangent to all five? If so, how many are there? Problems that ask for the number of geometric objects with given properties are known as enumera-tive problems in algebraic geometry. The tools developed to solve these problems have

Citations

• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
• Intersection Theory
• Algebraic Geometry
• The Hironaka theorem on resolution of singularities (Or: A proof we always wanted to understand)

Cited by

• Enumerative geometry [wikipedia]

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