The Number of Rational Quartics on Calabi-Yau hypersurfaces in Weighted Projective Space P(2,1⁴)

1994/09/02 by Paul Meurer, Meurer, Paul
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9409001

28 pages, AMSLaTeX 1.1

arxiv created 1994/09/02 · openalex publication_date 1994/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the number of rational quartics on a general Calabi-Yau hypersurface in weighted projective space P(2,1⁴). The result agrees with the prediction made by mirror symmetry.

Citations

• Rational curves on Calabi-Yau manifolds: verifying predictions of Mirror Symmetry

Related

• Rational points on quartic hypersurfaces
• Rational Curves on Calabi-Yau Threefolds: Verifying Mirror Symmetry Predictions
• Quotients of Hypersurfaces in Weighted Projective Space
• Rational curves on hypersurfaces [after A. Givental]
• Rational weighted projective hypersurfaces