Abstract
We construct classes in the motivic cohomology of certain 1-parameter families of Calabi–Yau hypersurfaces in toric Fano n-folds, with applications to local mirror symmetry (growth of genus 0 instanton numbers) and inhomogeneous Picard–Fuchs equations. In the case where the family is classically modular the classes are related to Beilinson’s Eisenstein symbol; the Abel–Jacobi map (or rational regulator) is computed in this paper for both kinds of cycles. For the “modular toric” families where the cycles essentially coincide, we obtain a motivic (and computationally effective) explanation of a phenomenon observed by Villegas, Stienstra, and Bertin.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
