Abstract
This paper is an attempt to apply the tools of supergeometry to arithmetic. Supergeometric objects are defined over supercommutative rings of coefficients. We consider an integral ring with two odd variables. In this case the even quantities, such as numbers and continued fractions, are dual integers, having both a classical and a nilpotent part. We refer to the nilpotent part as the “shadow”. We investigate the notions of supersymmetric continued fractions and the orthosymplectic modular group, and make some initial steps toward studying their properties.
Sign-in/Register to access full text options 
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.
