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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Resolution of Curve and Surface Singularities in Characteristic Zero | K. Kiyek (u. a.) | Taschenbuch | xxii | Englisch | 2010 | Springer | EAN 9789048165735 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ 'r. (r. _ 1) P 2 2 L. . , -- . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it - To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
Editore: Berlin / Göttingen / Heidelberg. Springer-Verlag. 1967., 1967
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Aggiungi al carrelloHardcover. Condizione: sehr gut. Originalbroschur. gr. 8°. 135-147 SS. mit Signatur auf dem Titelblatt. etwas gebräunt. sehr guter Zustand. Offprint from Archive dfor Rational Mechanics and Analysis", Vol. 25, Number 2. in deutscher Sprache.
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Aggiungi al carrelloKartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether s works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to com.
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Aggiungi al carrelloGebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether s works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to com.
Lingua: Inglese
Editore: Springer, Springer Dez 2010, 2010
ISBN 10: 9048165733 ISBN 13: 9789048165735
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Aggiungi al carrelloTaschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ 'r. (r. _ 1) P 2 2 L. . , ¿¿ . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it ¿ To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 508 pp. Englisch.