000 01783 a2200241 4500
008 250920b |||||||| |||| 00| 0 eng d
020 _a9780387977164
082 _a516.35 HAR
100 _aHarris, Joe
245 _aAlgebraic geometry: a first course
260 _aNew York:
_bSpringer,
_c1992.
300 _axix, 328p.:
_bhbk.:
_c25 cm.
440 _aGraduate Texts in Mathematics
504 _aIncludes References and Index.
520 _aThis book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners. https://link.springer.com/book/10.1007/978-1-4757-2189-8
650 _aAlgebraic Groups
650 _aDimension Theory
650 _aFamilies and Parameter Spaces
650 _aAffine and Projective Varieties
650 _aIdeals of Varieties
650 _aDeterminantal Varieties
942 _cTD
_2ddc
999 _c63646
_d63646