000 02523nam a22003738i 4500
001 CR9780511800443
003 UkCbUP
005 20200124160219.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 101021s2007||||enk o ||1 0|eng|d
020 _a9780511800443 (ebook)
020 _z9780521709835 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.N44 2007
082 0 4 _a516.3
_222
100 1 _aNeeman, Amnon,
_eauthor.
245 1 0 _aAlgebraic and analytic geometry /
_cAmnon Neeman.
246 3 _aAlgebraic & Analytic Geometry
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xii, 420 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v345
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aForeword -- 1. Introduction -- 2. Manifolds -- 3. Schemes -- 4. The complex topology -- 5. The analytification of a scheme -- 6. The high road to analytification -- 7. Coherent sheaves -- 8. Projective space -- the statements -- 9. Projective space -- the proofs -- 10. The proof of GAGA -- Appendix. The proofs concerning analytification; Bibliography -- Glossary -- Index.
520 _aThis textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.
650 0 _aGeometry, Algebraic.
650 0 _aGeometry, Analytic.
776 0 8 _iPrint version:
_z9780521709835
830 0 _aLondon Mathematical Society lecture note series ;
_v345.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511800443
999 _c516574
_d516572