000 02350nam a22003978i 4500
001 CR9780511529986
003 UkCbUP
005 20200124160233.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090409s1998||||enk o ||1 0|eng|d
020 _a9780511529986 (ebook)
020 _z9780521473163 (hardback)
020 _z9780521065832 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.38
_b.R64 1998
082 0 0 _a512/.24
_221
100 1 _aRoberts, Paul,
_cPh. D.,
_eauthor.
245 1 0 _aMultiplicities and Chern classes in local algebra /
_cPaul C. Roberts.
246 3 _aMultiplicities & Chern Classes in Local Algebra
264 1 _aCambridge :
_bCambridge University Press,
_c1998.
300 _a1 online resource (xi, 303 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v133
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aPrime 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 _aThe 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 _aMultiplicity (Mathematics)
650 0 _aChern classes.
650 0 _aCommutative algebra.
776 0 8 _iPrint version:
_z9780521473163
830 0 _aCambridge tracts in mathematics ;
_v133.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511529986
999 _c517778
_d517776