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Multiplicities and Chern classes in ...

Roberts, Paul, (Ph. D.)

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Multiplicities and Chern classes in local algebra

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Multiplicities and Chern classes in local algebra/ Paul C. Roberts.
其他題名:	Multiplicities & Chern Classes in Local Algebra
作者:	Roberts, Paul,
出版者:	Cambridge :Cambridge University Press, : 1998.,
面頁冊數:	xi, 303 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Prime ideals and the Chow group -- Graded rings and Samuel multiplicity -- Complexes and derived functors -- Homological properties of rings and modules -- Intersection multiplicities -- The homological conjectures -- The Frobenius map -- Projective schemes -- Chern classes of locally free sheaves -- The Grassmannian -- Local Chern characters -- Properties of local Chern characters -- Applications and examples.
標題:	Multiplicity (Mathematics) -
電子資源:	https://doi.org/10.1017/CBO9780511529986
ISBN:	9780511529986

Multiplicities and Chern classes in local algebra
Roberts, Paul,Ph. D.

Multiplicities and Chern classes in local algebra[electronic resource] /Multiplicities & Chern Classes in Local AlgebraPaul C. Roberts. - Cambridge :Cambridge University Press,1998. - xi, 303 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;133. - Cambridge tracts in mathematics ;133..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Prime ideals and the Chow group -- Graded rings and Samuel multiplicity -- Complexes and derived functors -- Homological properties of rings and modules -- Intersection multiplicities -- The homological conjectures -- The Frobenius map -- Projective schemes -- Chern classes of locally free sheaves -- The Grassmannian -- Local Chern characters -- Properties of local Chern characters -- Applications and examples.

The theory of local Chern characters used in commutative algebra originated in topology some years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting research results and important algebraic applications, some of which come from the author's own work. It concentrates on the background in commutative algebra and homological algebra and describes the relations between these subjects, including extensive discussions of the homological conjectures and of the use of the Frobenius map.

ISBN: 9780511529986Subjects--Topical Terms:

2022334
Multiplicity (Mathematics)

LC Class. No.: QA251.38 / .R64 1998

Dewey Class. No.: 512.24

Multiplicities and Chern classes in local algebra
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Prime ideals and the Chow group -- Graded rings and Samuel multiplicity -- Complexes and derived functors -- Homological properties of rings and modules -- Intersection multiplicities -- The homological conjectures -- The Frobenius map -- Projective schemes -- Chern classes of locally free sheaves -- The Grassmannian -- Local Chern characters -- Properties of local Chern characters -- Applications and examples.
520 $a The theory of local Chern characters used in commutative algebra originated in topology some years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting research results and important algebraic applications, some of which come from the author's own work. It concentrates on the background in commutative algebra and homological algebra and describes the relations between these subjects, including extensive discussions of the homological conjectures and of the use of the Frobenius map.
650 0 $a Multiplicity (Mathematics) $3 2022334
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650 0 $a Commutative algebra. $3 604140
830 0 $a Cambridge tracts in mathematics ; $v 133. $3 3470497
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