History Algebraic GeometryCRC Press, 30.05.1985 - 186 Seiten 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. |
Inhalt
| 18 | |
| 26 | |
RECENT RESULTS AND OPEN PROBLEMS | 114 |
ANNOTATED BIBLIOGRAPHY | 163 |
INDEX OF CITED NAMES | 179 |
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History Algebraic Geometry Suzanne C. (University of Nijmegen) Dieudonne Keine Leseprobe verfügbar - 2019 |
Häufige Begriffe und Wortgruppen
abelian varieties affine algebraic curves algebraic geometry algebraic surfaces algebraic variety algebraically closed field arbitrary Berlin-Heidelberg-New York Springer birational transformation C₁ C₂ called canonical Chern classes coefficients complex conics conjecture considered coordinates corresponding curve of degree curve of genus cycles Dedekind defined definition differential divisor equation example fiber finite number formula genus g Grothendieck holomorphic manifold homology hyperplane idea ideal integrals invariant irreducible curve isomorphism k-variety Kähler Kähler manifold l-adic cohomology Lefschetz linear series local ring meromorphic moduli morphism multiple points Noether nonsingular Notes in Math notion number field obtained open set Ox-Module p-forms P₁ P₂ parameters plane curves polynomial problem projective space projective variety proof properties proved quotient rational functions resp Riemann surface Riemann-Roch ring S-scheme Séminaire Bourbaki Serre Severi sheaf sheaves singular points subvariety tangent theorem topology variety of dimension vector bundle vector space VIII Zariski zero
Beliebte Passagen
Seite 51 - 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.
Seite 166 - WALKER, Reduction of the singularities of an algebraic surface, Ann. of Math., 36 (1935), p.
Seite 113 - If H is a closed subgroup of a Lie group G, then H is a submanifold of G and in particular a Lie subgroup.
Seite 9 - 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.
Seite 6 - ... but it must be pointed out that in the middle of the eighteenth century the number of...
Seite 77 - 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.
Seite 2 - 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...
Seite 166 - O. Zariski: Local uniformization on algebraic varieties, Ann. of Math. 41 (1940), 852-896.
Seite 2 - BC) with polar equation p = c (^/sin ^), which was used for the squaring of the circle and the trisection of an angle; the...