In this work we study finite group schemes over a discrete valuation ring of unequal characteristic which are isomorphic to the group scheme of p^2-roots of unity, where p is the characteristic of the residue field of R, on the generic fiber. And we apply this to the study of the degeneration, from caracteristic p to caracteristic 0, of torsors under the cyclic group of order p^2.
(2008). Group schemes of order p^2 and extension of Z/p^2Z-torsors. (Tesi di dottorato, Università degli Studi di Milano-Bicocca, 2008).
Group schemes of order p^2 and extension of Z/p^2Z-torsors
TOSSICI, DAJANO
2008
Abstract
In this work we study finite group schemes over a discrete valuation ring of unequal characteristic which are isomorphic to the group scheme of p^2-roots of unity, where p is the characteristic of the residue field of R, on the generic fiber. And we apply this to the study of the degeneration, from caracteristic p to caracteristic 0, of torsors under the cyclic group of order p^2.
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