000 03054nam a22004575i 4500
001 978-1-4471-4829-6
003 DE-He213
005 20140220082807.0
007 cr nn 008mamaa
008 121116s2013 xxk| s |||| 0|eng d
020 _a9781447148296
_9978-1-4471-4829-6
024 7 _a10.1007/978-1-4471-4829-6
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aBosch, Siegfried.
_eauthor.
245 1 0 _aAlgebraic Geometry and Commutative Algebra
_h[electronic resource] /
_cby Siegfried Bosch.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2013.
300 _aX, 504 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aRings and Modules -- The Theory of Noetherian Rings -- Integral Extensions -- Extension of Coefficients and Descent -- Homological Methods: Ext and Tor -- Affine Schemes and Basic Constructions -- Techniques of Global Schemes -- Etale and Smooth Morphisms -- Projective Schemes and Proper Morphisms.
520 _aAlgebraic geometry is a fascinating branch of mathematics that combines methods from both algebra and geometry. It transcends the limited scope of pure algebra by means of geometric construction principles. Moreover, Grothendieck’s schemes invented in the late 1950s allowed the application of algebraic-geometric methods in fields that formerly seemed to be far away from geometry (algebraic number theory, for example). The new techniques paved the way to spectacular progress such as the proof of Fermat’s Last Theorem by Wiles and Taylor. The scheme-theoretic approach to algebraic geometry is explained for non-experts whilst more advanced readers can use the book to broaden their view on the subject. A separate part studies the necessary prerequisites from commutative algebra. The book provides an accessible and self-contained introduction to algebraic geometry, up to an advanced level. Every chapter of the book is preceded by a motivating introduction with an informal discussion of the contents. Typical examples and an abundance of exercises illustrate each section. Therefore the book is an excellent solution for learning by yourself or for complementing knowledge that is already present. It can equally be used as a convenient source for courses and seminars or as supplemental literature.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aCommutative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447148289
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-4829-6
912 _aZDB-2-SMA
999 _c94708
_d94708