Abstract
In this paper, we will study the weak global Torelli theorem for complete intersections of hypersurfaces in a projective space. Let X be a non-singular projective variety of dimension r with an ample line bundle L over the complex number field C. Then the primitive part Hrm(X, Z) of the cohomology of X has a polarized Hodge structure. If the moduli space X of X exists, we can define the global period map Ho-* D/r from the moduli space X to the classifying space D/r of Hodge structures attaching the point p in X to the Hodge structure of the primitive part Hrim(Xp, Z) of the cohomology group of Xp(p E 4').
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.