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Canonical subgroups of BarsottiTate groups
 Annals of Math
, 2009
"... Canonical subgroups of BarsottiTate groups ..."
Λadic Barsotti–Tate groups
"... Abstract. We define ΛBT groups as a well controlled indBarsotti–Tate groups under the action of the Iwasawa algebra and construct out of modular Jacobians a prototypical example of such groups. We then discuss its relation to Weil numbers of weight 1 and to the nonvanishing problem of the adjoin ..."
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Abstract. We define ΛBT groups as a well controlled indBarsotti–Tate groups under the action of the Iwasawa algebra and construct out of modular Jacobians a prototypical example of such groups. We then discuss its relation to Weil numbers of weight 1 and to the nonvanishing problem
Exterior powers of BarsottiTate groups
 Ph.D. thesis, ETH Zürich
, 2010
"... Abstract. Let O be the ring of integers of a nonArchimedean local field and pi a fixed uniformizer of O. We establish three main results. The first one states that the exterior powers of a pidivisible Omodule scheme of dimension at most 1 over a field exist and commute with algebraic field extens ..."
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extensions. The second one states that the exterior powers of a pdivisible group of dimension at most 1 over arbitrary base exist and commute with arbitrary base change. The third one states that when O has characteristic zero, then the exterior powers of pidivisible groups with scalar O
POTENTIALLY GOOD REDUCTION OF BARSOTTITATE GROUPS
, 2006
"... Abstract. Let R be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field, K the fraction field of R. Suppose G is a BarsottiTate group (pdivisible group) defined over K which acquires good reduction over a finite extension K ′ of K. We prove that there exists ..."
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Abstract. Let R be a complete discrete valuation ring of mixed characteristic (0, p) with perfect residue field, K the fraction field of R. Suppose G is a BarsottiTate group (pdivisible group) defined over K which acquires good reduction over a finite extension K ′ of K. We prove
TAMEBLIND EXTENSION OF MORPHISMS OF TRUNCATED BARSOTTITATE GROUP SCHEMES
, 2008
"... Abstract. The purpose of the present paper is to show that morphisms between the generic fibers of truncated BarsottiTate group schemes over mixed characteristic complete discrete valuation rings with perfect residue fields extend in a “tameblind ” fashion — i.e., under a condition which is unaffe ..."
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Abstract. The purpose of the present paper is to show that morphisms between the generic fibers of truncated BarsottiTate group schemes over mixed characteristic complete discrete valuation rings with perfect residue fields extend in a “tameblind ” fashion — i.e., under a condition which
15 (2008), 411–425. A Note on Semistable BarsottiTate Groups
"... Abstract. We show that the Dieudonne ́ crystal associated to a BarsottiTate group with potentially semistable reduction over a smooth curve is overconvergent. As a corollary, we obtain the rationality of the Lfunction associated to this group. 1. ..."
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Abstract. We show that the Dieudonne ́ crystal associated to a BarsottiTate group with potentially semistable reduction over a smooth curve is overconvergent. As a corollary, we obtain the rationality of the Lfunction associated to this group. 1.
ON THE DEFORMATION OF A BARSOTTITATE GROUP OVER A PROJECTIVE BASE
"... Abstract. In this paper, we study deformations of pairs (C,G) where G is a (truncated) BarsottiTate group over a complete curve C on an algebraically closed field k of characteristic p. We prove that, if the curve C is a versal deformation of G, then there exists a unique lifting of the pair to the ..."
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Abstract. In this paper, we study deformations of pairs (C,G) where G is a (truncated) BarsottiTate group over a complete curve C on an algebraically closed field k of characteristic p. We prove that, if the curve C is a versal deformation of G, then there exists a unique lifting of the pair
Special cycles on unitary Shimura varieties I. Unramified local theory, preprint 2008, arXiv:0804.0600v1 W. Messing, The crystals associated to BarsottiTate groups: with an application to abelian schemes
 Lecture Notes in Mathematics 264
, 1972
"... A relation between a generating series constructed from arithmetic cycles on an integral model of a Shimura curve and the derivative of a Siegel Eisenstein series of genus 2 was established by one of us in [9]. There, the hope is expressed that such a relation should hold in greater generality ..."
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Cited by 20 (5 self)
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A relation between a generating series constructed from arithmetic cycles on an integral model of a Shimura curve and the derivative of a Siegel Eisenstein series of genus 2 was established by one of us in [9]. There, the hope is expressed that such a relation should hold in greater generality
Results 1  10
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398