000			03203nam a2200409 i 4500
008			100129s2010 si a b 001 0 eng d
020			_a9789814304566
020			_a9814304565
020			_a9789814307581
020			_a9814307580
035			_a(OCoLC)503072457
040			_aBTCTA _beng _cBTCTA _dYDXCP _dSINLB _dDEBBG _dBWX _dEMU _dMUU _dUPM _dLHU _dCDX _dBAUN _erda
049			_aBAUN_MERKEZ
050	0	4	_aQA564 _b.P385 2010
082	0	4	_222
100	1		_aPatil, Dilip P.
245	1	0	_aIntroduction to algebraic geometry and commutative algebra / _cDilip P. Patil, Uwe Storch.
264		1	_aSingapore : _bWorld Scientific ; _c[2010]
264		1	_a[Bangalore] : _bIISc Press, _c[2010]
264		4	_c©2010
300			_ax, 207 pages : _billustrations ; _c24 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aIISc lecture note series ; _v1
504			_aIncludes bibliographical references (page [199]) and index.
500			_a"ILNS 1"--Spine.
505	0	0	_t-- Chapter 1. Finitely Generated Algebras _t-- 1.A. Algebras over a Ring _t-- 1.B. Factorization in Rings _t-- 1.C. Noetherian Rings and Modules _t-- 1.D. Graded Rings and Modules _t-- 1.E. Integral Extensions _t-- 1.F. Noether's Normalization Lemma and Its Consequences _t-- Chapter 2. The K-Spectrum and the Zariski Topology _t-- 2.A. The K-Spectrum of a K-Algebra _t-- 2.B. Affine Algebraic Sets _t-- 2.C. Strong Topology _t-- Chapter 3. Prime Spectra and Dimension _t-- 3.A. The Prime Spectrum of a Commutative Ring _t-- 3.B. Dimension _t-- Chapter 4. Schemes _t-- 4.A. Sheaves of Rings _t-- 4.B. Schemes _t-- 4.C. Finiteness Conditions on Schemes _t-- 4.D. Product of Schemes _t-- 4.E. Affine Morphisms _t-- Chapter 5. Projective Schemes _t-- 5.A. Projective Schemes _t-- 5.B. Main Theorem of Elimination _t-- 5.C. Mapping Theorem of Chevalley _t-- Chapter 6. Regular, Normal and Smooth Points _t-- 6.A. Regular Local Rings _t-- 6.B. Normal Domains _t-- 6.C. Normalization of a Scheme _t-- 6.D. The Module of Kahler Differentials _t-- 6.E. Quasi-coherent Sheaves and the Sheaf of Kahler Differentials _t-- Chapter 7. Riemann-Roch Theorem _t-- 7.A. Coherent Modules on Projective Schemes _t-- 7.B. Projective Curves _t-- 7.C. The Projective Line _t-- 7.D. Riemann-Roch Theorem for General Curves _t-- 7.E. Genus of a Projective Curve.
520			_a"This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra. Algebraic geometry, supported fundamentally by commutative algebra, is a cornerstone of pure mathematics.
520			_aAlong the lines developed by Grothendieck, this book delves into the rich interplay between algebraic geometry and commutative algebra. With concise yet clear definitions and synopses a selection is made from the wealth of meterial in the disciplines including the Riemann-Roch theorem for arbitrary projective curves."--pub. desc.
650		0	_aGeometry, Algebraic.
650		0	_aCommutative algebra.
700	1		_aStorch, Uwe.
830		0	_9107993 _aIISc lecture notes series ; _v1.
900			_a30923 30924
942			_2lcc _cKT
999			_c27749 _d27749