A toric proof of Bézout's theorem for weighted projective spaces

2016/04/08 by Bernt Ivar Utstøl Nødland, Nødland, Bernt Ivar Utstøl
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1604.02348

openalex publication_date 2016/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using toric geometry we prove a Bézout type theorem for weighted projective spaces.

Related

• Diophantine geometry and toric varieties
• Quelques aspects diophantiens des varietes toriques projectives
• Computational procedures for weighted projective spaces
• Toric Sarkisov links of toric Fano varieties
• A geometric C₂-equivariant Bézout Theorem