Elimination with applications to singularities in positive characteristic

被引：12

作者：

Villamayor U., Orlando ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Fac Ciencias, Dpto Matemat, E-28049 Madrid, Spain

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2008年 / 44卷 / 02期

关键词：

singularities; integral closure; Rees algebras;

D O I：

10.2977/prims/1210167340

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present applications of elimination theory to the study of singularities over arbitrary fields. A partial extension of a function, defining resolution of singularities over fields of characteristic zero, is discussed here in positive characteristic.

引用

页码：661 / 697

页数：37

共 50 条

[31] A transcendence criterion in positive characteristic and applications
Yao, Jia-Yan
COMPTES RENDUS MATHEMATIQUE, 2006, 343 (11-12) : 699 - 704
[32] Classification of right unimodal and bimodal hypersurface singularities in positive characteristic by invariants
Binyamin, Muhammad Ahsan
Khan, Junaid Alam
Mehmood, Khawar
Shehzad, Amir
Shuaib, Umer
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2018, 61 (03): : 333 - 343
[33] ON THE PROBLEM OF RESOLUTION OF SINGULARITIES IN POSITIVE CHARACTERISTIC (Or: A proof we are still waiting for)
Hauser, Herwig
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 47 (01) : 1 - 30
[34] ON THE ELIMINATION OF MORIN SINGULARITIES
ANDO, Y
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1985, 37 (03) : 471 - 487
[35] Toward Resolution of Singularities over a Field of Positive Characteristic (The Idealistic Filtration Program)
Kawanoue, Hiraku
Matsuki, Kenji
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2010, 46 (02) : 359 - 422
[36] A spherical extension theorem and applications in positive characteristic
Koh, Doowon
Pham, Thang
FINITE FIELDS AND THEIR APPLICATIONS, 2025, 101
[37] THE ELIMINATION OF SINGULARITIES IN DERIVATIVE CALCULATIONS
HANDY, NC
AMOS, RD
GAW, JF
RICE, JE
SIMANDIRAS, ED
CHEMICAL PHYSICS LETTERS, 1985, 120 (02) : 151 - 158
[38] Singularities of maps and characteristic classes
Ohmoto, Toru
SCHOOL ON REAL AND COMPLEX SINGULARITIES IN SAO CARLOS, 2012, 2016, 68 : 191 - 265
[39] Characteristic exponents of semialgebraic singularities
Birbrair, L
Cano, F
MATHEMATISCHE NACHRICHTEN, 2004, 276 : 23 - 30
[40] Hypersurface singularities in arbitrary characteristic
Hefez, A.
Rodrigues, J. H. O.
Salomao, R.
JOURNAL OF ALGEBRA, 2019, 540 : 20 - 41

← 1 2 3 4 5 →