1998/01/20 by Einar Andreas Rodland, Einar Andreas Rødland, Rodland, Einar Andreas · 2 citations
Mathematics · #14J30 (primary) #14N10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14J30 #msc:14N10
paper · pdf · doi:10.48550/arxiv.math/9801092
LaTeX2e, 13 pages; full PhD-thesis will be made available from http://www.math.uio.no/~einara/papers.html in early 1998
arxiv created 1998/01/20 · openalex publication_date 1998/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The rank 4 locus of a general skew-symmetric 7x7 matrix gives the pfaffian variety in P20 which is not defined as a complete intersection. Intersecting this with a general P6 gives a Calabi-Yau manifold. An orbifold construction seems to give the 1-parameter mirror-family of this. However, corresponding to two points in the 1-parameter family of complex structures, both with maximally unipotent monodromy, are two different mirror-maps: one corresponding to the general pfaffian section, the other to a general intersection of G(2,7) in P20 with a P13. Apparently, the pfaffian and G(2,7) sections constitute different parts of the A-model (Kahler structure related) moduli space, and, thus, represent different parts of the same conformal field theory moduli space.