Abstract
In this paper, we discuss the Chern characters of hypersurfaces with arbitrary singularities. When the hypersurface is smooth, the Chern characters are just the usual Chern numbers. For any given dimension, we prove that the Chern characters satisfy a kind of inequalities. And we discover that the Chern characters satisfy some kind of equalities when the dimension is greater than 3. Therefore we obtain some more inequalities which are satisfied by the Chern characters of hypersurfaces with arbitrary singularities.
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.