508:
366:
394:
389:
405:
552:
63:
401:
384:
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326:
Barsotti, Iacopo (1962), "Analytical methods for abelian varieties in positive characteristic",
496:
446:
362:
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536:
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532:
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485:
473:
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454:
411:
372:
350:
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331:
55:
47:
500:
441:, Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998),
546:
470:
The crystals associated to
Barsotti-Tate groups: with applications to abelian schemes
166:
17:
450:
523:
Tate, John T. (1967), "p-divisible groups.", in
Springer, Tonny A. (ed.),
481:
358:
70:) under the name p-divisible groups, and named Barsotti–Tate groups by
434:
419:
472:, Lecture Notes in Mathematics, vol. 264, Berlin, New York:
349:, Lecture Notes in Mathematics, vol. 302, Berlin, New York:
136:
is (identified with) the group of elements of order divisible by
407:
193:
are (represented by) a finite locally free scheme. The group
263:(or rather the group scheme corresponding to it). This is a
328:
Colloq. Théorie des
Groupes Algébriques (Bruxelles, 1962)
330:, Librairie Universitaire, Louvain, pp. 77–85,
62:) under the name equidimensional hyperdomain and by
410:, vol. 1, Gauthier-Villars, pp. 431–436,
501:"Groupes p-divisibles (d'après J. Tate), Exp. 318"
404:(1971), "Groupes de Barsotti-Tate et cristaux",
299:to be the subgroup scheme of elements of order
42:are similar to the points of order a power of
8:
154:
71:
525:Proc. Conf. Local Fields( Driebergen, 1966)
315:is the dimension of the Abelian variety.
241:is the direct limit of these subgroups.
59:
97:) to be an inductive system of groups
7:
82:
67:
435:"Barsotti-Tate groups and crystals"
201:for some locally constant function
25:
303:of an abelian variety. This is a
169:sheaf of commutative groups over
259:to be the cyclic group of order
181:-torsion, such that the points
157:defined a Barsotti–Tate group
509:Société Mathématique de France
347:Lectures on p-divisible groups
119:is a finite group scheme over
1:
287:-divisible group of height 1.
267:-divisible group of height 1.
307:-divisible group of height 2
89:-divisible group of height
390:Encyclopedia of Mathematics
569:
279:to be the group scheme of
54:. They were introduced by
383:Dolgachev, I.V. (2001) ,
283:th roots of 1. This is a
507:, vol. 10, Paris:
433:de Jong, A. J. (1998),
402:Grothendieck, Alexander
439:Documenta Mathematica
229:) of points of order
527:, Berlin, New York:
233:is a scheme of rank
33:Barsotti–Tate groups
385:"P-divisible group"
155:Grothendieck (1971)
72:Grothendieck (1971)
511:, pp. 73–86,
505:Séminaire Bourbaki
497:Serre, Jean-Pierre
482:10.1007/BFb0058301
359:10.1007/BFb0060741
50:in characteristic
29:algebraic geometry
368:978-3-540-06092-5
40:-divisible groups
18:P-divisible group
16:(Redirected from
560:
553:Algebraic groups
539:
519:
492:
466:Messing, William
461:
429:
428:
427:
418:, archived from
397:
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343:Demazure, Michel
338:
153:More generally,
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529:Springer-Verlag
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351:Springer-Verlag
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221:. The subgroup
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93:(over a scheme
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48:abelian variety
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217:of the group
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445:: 259–265,
83:Tate (1967)
426:2010-11-25
320:References
85:defined a
78:Definition
499:(1995) ,
451:1431-0635
395:EMS Press
165:to be an
123:of order
547:Category
468:(1972),
345:(1972),
173:that is
56:Barsotti
537:0231827
517:1610452
490:0347836
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245:Example
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290:Take
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106:for
68:1967
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60:1962
478:doi
355:doi
213:or
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