SLOPE FILTRATIONS IN FAMILIES

被引：6

作者：

Liu, Ruochuan ^{[1
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2013年 / 12卷 / 02期

关键词：

slope filtration; phi-modules; RHAM REPRESENTATIONS;

D O I：

10.1017/S1474748012000709

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns arithmetic families of phi-modules over reduced affinoid spaces. For such a family, we first prove that the slope polygons are lower semicontinuous around any rigid point. We further prove that if the slope polygons are locally constant around a rigid point, then around this point, the family has a global slope filtration after base change to some extended Robba ring.

引用

页码：249 / 296

页数：48

共 50 条

[1] Slope filtrations revisited
Kedlaya, KS
DOCUMENTA MATHEMATICA, 2005, 10 : 447 - 525
[2] SLOPE FILTRATIONS FOR RELATIVE FROBENIUS
Kedlaya, Kiran S.
ASTERISQUE, 2008, (319) : 259 - 301
[3] Slope filtrations of F-isocrystals and logarithmic decay
Kramer-Miller, Joe
MATHEMATICAL RESEARCH LETTERS, 2021, 28 (01) : 107 - 125
[4] Slope Filtrations Revisited (vol 10, pg 447, 2005)
Kedlaya, Kiran S.
DOCUMENTA MATHEMATICA, 2007, 12 : 361 - 362
[5] Aojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations
Bivia-Ausina, Carles
Encinas, Santiago
REVISTA MATEMATICA COMPLUTENSE, 2013, 26 (02): : 773 - 798
[6] Dismissing families: A slippery slope
Kemper, KJ
Guth, CJ
ARCHIVES OF PEDIATRICS & ADOLESCENT MEDICINE, 2006, 160 (04): : 452 - 452
[7] Łojasiewicz exponent of families of ideals, Rees mixed multiplicities and Newton filtrations
Carles Bivià-Ausina
Santiago Encinas
Revista Matemática Complutense, 2013, 26 : 773 - 798
[8] Semistable periods of finite slope families
Liu, Ruochuan
ALGEBRA & NUMBER THEORY, 2015, 9 (02) : 435 - 458
[9] Slope inequality for families of curves over surfaces
Zhang, Tong
MATHEMATISCHE ANNALEN, 2018, 371 (3-4) : 1095 - 1136
[10] Slope inequality for families of curves over surfaces
Tong Zhang
Mathematische Annalen, 2018, 371 : 1095 - 1136

← 1 2 3 4 5 →