عنوان

On the Tangent :

شابک

0691120439

شابک

1400837170

شابک

9780691120430

شابک

9781400837175

شابک اشتباه

0691120447

شابک اشتباه

9780691120447

عنوان اصلي

On the Tangent :

نام عام مواد

[Book]

ساير اطلاعات عنواني

space to the space of algebraic cycles on a smooth algebraic variety /

نام نخستين پديدآور

Mark Green and Phillip Griffiths.

محل نشرو پخش و غیره

Princeton :

نام ناشر، پخش کننده و غيره

Princeton University Press,

تاریخ نشرو بخش و غیره

2004.

نام خاص و کميت اثر

1 online resource (vi, 200 pages) :

ساير جزييات

illustrations.

عنوان فروست

Annals of mathematics studies ;

مشخصه جلد

no. 157

متن يادداشت

Includes bibliographical references (pages 195-197) and index.

متن يادداشت

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angéniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications.

منبع سفارش / آدرس اشتراک

JSTOR

شماره انبار

22573/ctt249rdh

عنوان

On the Tangent.

موضوع مستند نشده

Algebraic cycles.

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Hodge theory.

موضوع مستند نشده

Cycles algébriques.

موضوع مستند نشده

Géométrie algébrique.

موضوع مستند نشده

Hodge, Théorie de.

موضوع مستند نشده

Algebraic cycles.

موضوع مستند نشده

Geometry, Algebraic.

موضوع مستند نشده

Hodge theory.

موضوع مستند نشده

MATHEMATICS-- Algebra-- Abstract.

موضوع مستند نشده

MATHEMATICS-- Geometry-- Algebraic.

موضوع مستند نشده

MAT-- 012010

موضوع مستند نشده

MAT002010

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Green, M., (Mark)

تاريخ عمليات

20200824082318.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y