History Algebraic Geometry This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra. |
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목차
Problems on Surfaces | 120 |
Singularities | 128 |
Topology of Algebraic Varieties | 140 |
Abelian Varieties | 147 |
Additional Topics | 162 |
INDEx of CITED NAMES | 179 |
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자주 나오는 단어 및 구문
abelian varieties addition affine algebraic curves algebraic geometry algebraic topology algebraic variety algebraically closed arbitrary associated base birational called canonical characteristic classical coefficients cohomology complex components conics considered contained coordinates corresponding curve cycles defined definition differential dimension distinct divisor elements equal equation equivalent example exists expression extension fact fiber field Finally finite follows formula functions fundamental genus geometry give given Hodge theory holomorphic homology idea ideal identified integrals intersection introduced invariant irreducible isomorphism kind linear manifold method Moreover morphism multiple natural nonsingular notion obtained particular plane points polynomial positive possible problem projective projective space proof properties proved rational functions relation replaced restriction Riemann ring scheme sheaf shows simple smooth space structure subvariety surface taking tangent theorem theory topology transformation values vector bundle VIII zero
인기 인용구
165 페이지 - Introduction to the theory of algebraic functions of one variable, AMS Math. Surveys, VI, New York, 1951.
51 페이지 - It is easy to see that this condition is equivalent to saying that the graph of *(:r): J3 x X *(x) is a closed subset of <SXS, where X denotes a Cartesian product.
166 페이지 - WALKER, Reduction of the singularities of an algebraic surface, Ann. of Math., 36 (1935), p.
113 페이지 - If H is a closed subgroup of a Lie group G, then H is a submanifold of G and in particular a Lie subgroup.
9 페이지 - Mobius, Pliicker, and Cayley give projective geometry a solid base by the use of homogeneous coordinates accompanied by a harmonious choice of indexing notation that maintains a symmetry and a clarity in the calculations so that they closely follow the geometric argument.
6 페이지 - ... but it must be pointed out that in the middle of the eighteenth century the number of...
77 페이지 - In 1938, Krull obtained a whole series of remarkable results on noetherian local rings, and, a little later, Zariski sawthat these results could be put to use in algebraic geometry over an arbitrary field.
2 페이지 - When the chains are flexible it may arise that the two free valencies on their ends react with one another, producing a ring-molecule of many members. Such molecules are known from the work of Miiller, Ruzicka* and others, and even the kinetics of their formation was cleared up...
166 페이지 - O. Zariski: Local uniformization on algebraic varieties, Ann. of Math. 41 (1940), 852-896.
2 페이지 - BC) with polar equation p = c (^/sin ^), which was used for the squaring of the circle and the trisection of an angle; the...
도서 문헌정보
| 제목 | History Algebraic Geometry The Wadsworth & Brooks/Cole Mathematics Series Wadsworth Mathematics |
| 저자 | Suzanne C. Dieudonne |
| 에디션 | 일러스트, 개정 |
| 발행인 | CRC Press, 1985 |
| ISBN | 0412993716, 9780412993718 |
| 길이 | 186페이지 |
| 서지정보 내보내기 | BiBTeX EndNote RefMan |