Quantum Hyperplane Section Theorem For Homogeneous Spaces

1997/12/05 by Bumsig Kim, Kim, Bumsig · 1 citation
Mathematics · #14N10 (Primary) 53C15 (Secondary) #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #alg-geom #math.AG #msc:14N10 #msc:53C15

paper · pdf · doi:10.48550/arxiv.alg-geom/9712008

24 pages, LaTeX 2e. The presentation is improved a lot

openalex publication_date 1997/12/05 · arxiv created 1998/01/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We formulated a mirror-free approach to the mirror conjecture, namely, quantum hyperplane section conjecture, and proved it in the case of nonnegative complete intersections in homogeneous manifolds. For the proof we followed the scheme of Givental's proof of a mirror theorem for toric complete intersections.

Citations

• Rational Curves on the Space of Determinantal Nets of Conics

Cited by

• A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology

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