On the Monodromies and the Limit Mixed Hodge Structures of Families of Algebraic Varieties

被引：0

作者：

Saito, Takahiro ^{[1
]}

Takeuchi, Kiyoshi ^{[2
]}

机构：

[1] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan

[2] Tohoku Univ, Math Inst, Aramaki Aza Aoba 6-3,Aobaku Ku, Sendai 9808578, Japan

来源：

MICHIGAN MATHEMATICAL JOURNAL | 2023年 / 73卷 / 03期

关键词：

INFINITY; COHOMOLOGY; TOPOLOGY; NUMBERS;

D O I：

10.1307/mmj/20205992

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the monodromies and the limit mixed Hodge structures of families of complete intersection varieties over a punctured disk in the complex plane. For this purpose, we express their motivic nearby fibers in terms of the geometric data of some Newton polyhedra. In particular, the limit mixed Hodge numbers and some part of the Jordan normal forms of the monodromies of such a family will be described very explicitly.

引用

页码：631 / 668

页数：38

共 50 条

[41] Geometric transitions and mixed Hodge structures
Diaconescu, Duiliu-Emanuel
Donagi, Ron
Pantev, Tony
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2007, 11 (01) : 65 - 89
[42] Moduli of log mixed Hodge structures
Kato, Kazuya
Nakayama, Chikara
Usui, Sampei
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2010, 86 (07) : 107 - 112
[43] Mixed Hodge Structures on Alexander Modules
Elduque, Eva
Geske, Christian
Cueto, Moises Herradoen
Maxim, Laurentiu G.
Wang, Botong
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 296 (1479) : 1 - 128
[44] POLARIZATIONS ON LIMITING MIXED HODGE STRUCTURES
Fujisawa, Taro
JOURNAL OF SINGULARITIES, 2014, 8 : 146 - 193
[45] Mixed Hodge structures and Siegel operators
Ma, Shouhei
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2024, 2024 (816): : 161 - 199
[46] Mixed Hodge structures and Weierstrass σ-function
Banaszak, Grzegorz
Milewski, Jan
COMPTES RENDUS MATHEMATIQUE, 2013, 351 (13-14) : 551 - 555
[47] CATEGORY OF MIXED PLECTIC HODGE STRUCTURES
Bannai, Kenichi
Hagihara, Kei
Kobayashi, Shinichi
Yamada, Kazuki
Yamamoto, Shuji
Yasuda, Seidai
ASIAN JOURNAL OF MATHEMATICS, 2020, 24 (01) : 31 - 76
[48] Asymptotics of degenerations of mixed Hodge structures
Hayama, Tatsuki
Pearlstein, Gregory
ADVANCES IN MATHEMATICS, 2015, 273 : 380 - 420
[49] Mixed Hodge structures and renormalization in physics
Bloch, Spencer
Kreimer, Dirk
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, 2008, 2 (04) : 637 - 718
[50] MULTIPLICATIVE SUB-HODGE STRUCTURES OF CONJUGATE VARIETIES
Schreieder, Stefan
FORUM OF MATHEMATICS SIGMA, 2014, 2

← 1 2 3 4 5 →