000			01948 a2200265 4500
003			OSt
005			20250113145542.0
008			250108b xxu||||| |||| 00| 0 eng d
020			_a9783658307325
040			_cIIT Kanpur
041			_aeng
082			_a516.35 _bG688a2
100			_aGortz, Ulrich
245			_aAlgebraic geometry I [2nd ed.] _bschemes : with examples and exercises _cUlrich Gortz and Torsten Wedhorn
250			_a2nd ed.
260			_bSpringer _c2020 _aGermany
300			_avii, 625p
440			_aSpringer Studium Mathematik- Master
490			_a / edited by Martin Aigner ...[et al.]
520			_aThis book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get started, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes. For the second edition, several mistakes and many smaller errors and misprints have been corrected.
650			_aGeometry, Algebraic
650			_aGeometry, Algebraic problems, exercises, etc
700			_aWedhorn, Torsten
942			_cBK
999			_c567322 _d567322