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001			EBC3113152
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005			20240729124534.0
006			m o d |
007			cr cnu||||||||
008			240724s2005 xx o ||||0 eng d
020			_a9780821879658 _q(electronic bk.)
020			_z9780821837054
035			_a(MiAaPQ)EBC3113152
035			_a(Au-PeEL)EBL3113152
035			_a(CaPaEBR)ebr10878607
035			_a(OCoLC)774059162
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.3 -- .L568 2005eb
082	0		_a516.3/5
100	1		_aLipman, Joseph.
245	1	0	_aVariance and Duality for Cousin Complexes on Formal Schemes.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2005.
264		4	_c©2005.
300			_a1 online resource (290 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.375
505	0		_aIntro -- Contents -- Preface -- Part 1. Pseudofunctorial behavior of Cousin complexes on formal schemes -- 1. Introduction and main results -- 2. Preliminaries on formal schemes -- 3. Local cohomology and Cousin complexes -- 4. Generalized fractions and pseudofunctors -- 5. Pseudofunctorial behavior for smooth maps -- 6. Closed immersions and base change -- 7. The retract case -- 8. The main theorem -- 9. Residual and dualizing complexes -- 10. Some explicit descriptions -- References -- Part 2. Duality for Cousin complexes -- 1. Introduction -- 1.1. Conventions -- 2. Traces -- 2.1. Local rings -- 2.2. Trace at the graded level -- 2.3. Relative projective space -- 2.4. The Trace Theorem -- 2.5. Traces and translations -- 3. The twisted inverse image pseudofunctor -- 3.1. Factorizations -- 3.2. Flat base change -- 3.3. Comparing pseudofunctors -- 4. The comparison map -- 4.1. Pseudo-proper maps -- 4.2. Étale base change -- 5. Smooth maps -- 5.1. Verdier's isomorphism -- 5.2. Smooth pseudo-finite maps -- 5.3. The isomorphism theorem for smooth maps -- 6. The Cousin of the comparison map -- 6.1. Definitions and notations -- 6.2. Closed immersions -- 6.3. General maps -- 7. The Comparison map for flat morphisms -- 7.1. Tor and Ext -- 7.2. Local cohomology and the twisted inverse image -- 8. The universal property of the trace -- 8.1. Duality for Cousin complexes -- 9. Variants -- 9.1. Preliminaries -- 9.2. Twisted inverse image via residual complexes -- 9.3. Comparison of the two twisted inverse images -- References -- Part 3. Pasting pseudofunctors -- 1. Introduction -- 2. The abstract pasting results -- 3. Proofs I (generalized isomorphisms in the labeled setup) -- 4. Proofs II (the cocycle condition) -- 5. Proofs III (old isomorphisms and linearity) -- 6. Proofs IV (the output) -- 7. Applications -- References -- Index.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHomology theory.
650		0	_aAbelian categories.
650		0	_aDuality theory (Mathematics).
650		0	_aAlgebra, Homological.
650		0	_aSchemes (Algebraic geometry).
655		4	_aElectronic books.
700	1		_aNayak, Suresh.
700	1		_aSastry, Pramathanath.
776	0	8	_iPrint version: _aLipman, Joseph _tVariance and Duality for Cousin Complexes on Formal Schemes _dProvidence : American Mathematical Society,c2005 _z9780821837054
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113152 _zClick to View
999			_c68686 _d68686