First order formal schemes and their vector bundles
by Siu Ho Chung
THESIS
2010
M.Phil. Mathematics
ix, 24 p. : ill. ; 30 cm
Abstract
Let C be a smooth complete curve over an algebraically closed field. Embed C into a surface S with ideal sheaf I. We characterize the sheaves Os/I2 on C, classify these objects and vector bundles on them by adeles, and generalize it to Spec R, where R is the ring of integers of a number field.
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