Group schemes of period 2

Abstract

We give an explicit construction of the antiequivalence of the category of finite flat commutative group schemes of period 2 defined over the valuation ring of a 2-adic field with algebraically closed residue field. This result extends the earlier author's approach to group schemes of period p>2 from Proceedings of LMS, 101, 2010, 207-259.

36 pages

References in corpus (1)

• The classification of $p$-divisible groups over 2-adic discrete valuation rings

Cited by in corpus (4)

• Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields
• Lattices in crystalline representations and Kisin modules associated with iterate extensions
• Full faithfulness theorem for torsion crystalline representations
• On Galois equivariance of homomorphisms between torsion potentially crystalline representations