Supertori are algebraic curves |
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| Authors: | Jeffrey M Rabin Peter G O Freund |
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| Institution: | (1) Departments of Mathematics and Physics and the Enrico Fermi Institute, University of Chicago, 60637 Chicago, IL, USA;(2) Present address: Department of Mathematics, University of California at San Diego, 92093 La Jolla, CA |
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| Abstract: | Super Riemann surfaces of genus 1, with arbitrary spin structures, are shown to be the sets of zeroes of certain polynomial equations in projective superspace. We conjecture that the same is true for arbitrary genus. Properties of superelliptic functions and super theta functions are discussed. The boundary of the genus 1 super moduli space is determined.Research partially supported by the DOE (DE-AC02-82-ER-40073) and NSF (PHY-85-21588) |
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