Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Vasconcelos W. — Integral Closure
Vasconcelos W. — Integral Closure



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Integral Closure

Автор: Vasconcelos W.

Аннотация:

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of solutions that arise under various processes and algorithms. It gives a comprehensive treatment of Rees algebras and multiplicity theory - while pointing to applications in many other problem areas. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

This book is intended for graduate students and researchers in the fields mentioned above. It contains, besides exercises aimed at giving insights, numerous research problems motivated by the developments reported.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2005

Количество страниц: 519

Добавлена в каталог: 02.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Reduction number, primary normal ideal      125
Reduction number, relation type      63
Reduction numbers of affine rings      83
Reduction numbers of primary ideals      198
Reduction of a filtration      64
Reduction of a module      416
Reduction of an ideal      32
Reduction of an ideal, existence of Reductions      38
Reduction subalgebra of an algebra      5 101
Rees algebra of a filtration      6
Rees algebra of a module, dimension      27
Rees algebra of an affine algebra      414
Rees algebra of an ideal      7
Rees algebra of ideals, normalization      405
Rees algebra, dimension      21
Rees algebra, expected equations      22
Rees algebra, Macaulay      22
Rees algebras of determinantal ideals      250
Rees theorem      86
Rees valuation of an ideal      35
Rees valuations of a module      448
Rees valuations of determinantal ideals      250
Rees valuations, radical ideal      409
Reflexive module      239 481
Regularity and reduction number      121
Relation type of an ideal      22 23 63
Residually Cohen — Macaulay ideal      290
Rings of endomorphisms      483
Sally module      101
Sally module, equimultiple ideal      198
Sally module, normal ideal      374
Samuel multiplicity      131
Second analytic deviation of an ideal      52
Semi-conductor of an algebra      320
Sequentially Cohen — Macaulay module      143
Shifting of a divisor      242
Shifting operation      242
Shifting operator      239
Sliding depth      291
Sliding depth, depth of the cycles      291
Socle of an ideal      44
Special fiber      45
Special fiber with respect to an ideal      89
Special fiber, multiplicity      181
Special fibers which are C.-M. domains      180
Standard reduction formula      198
Strongly Cohen — Macaulay ideal      291
Superficial element      207
Superficial sequence      207 229
Supermultiplicity of a module      161
Symbolic power filtration      409
Symbolic power of an ideal      409
Symbolic powers algebra      409
Symmetric algebra, dimension      27
System of parameters      206
Syzygetic homology module      281
Syzygetic ideal      281
Tangent cone      45
Tate resolution      282
Test of integral closure      84
Torsion submodule of a module      482
Trace of an endomorphism      72
Tracking number, abstract      348
Tracking number, graded module or algebra      337
Tracking number, positivity      345
Valabrega — Valla module      112
Valuative criterion of reduction      34
Veronese subring      94
Virtual reduction module      103
Z-complex      294
Z-complex of a module      297
1 2
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте