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Geradenkonfigurationen und Algebraische Flächen

Geradenkonfigurationen und Algebraische Flächen

Friedrich Hirzebruch / Gottfried Barthel / Thomas Höfer

84,58 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
1987
Materia
Geometría
ISBN:
9783528089078
84,58 €
IVA incluido
Disponible

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Sobre IBD

Im Mittelpunkt des Buches steht eine Konstruktion mit Hilfe von Geradenkonfigurationen in der komplex-projektiven Ebene, die überraschende Beziehungen zur elementaren Geometrie aufzeigt: Aus der berühmten Miyaoka-Yau-Ungleichung für die Chernschen Zahlen einer algebraischen Fläche folgen Aussagen über Geraden- und Punktkonfigurationen, für die kein direkter Beweis bekannt ist. Der Grenzfall der Ungleichung ist eine Proportionalitätsbeziehung, die genau die Flächen charakterisiert, deren universelle Überlagerung die Vollkugel im komplex-zweidimensionalen Raum ist. Die Methoden gestatten die Konstruktion von Flächen aus dieser besonders interessanten Klasse, für die bislang wenig explizite Beispiele bekannt waren.

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