A 4₃ configuration of lines and conics in ℙ⁵
Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.
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Tomasz Szemberg (1994)
Annales Polonici Mathematici
Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.
Joe Harris (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Peter Kleinschmidt (1988)
Aequationes mathematicae
Andrew J. Sommese, M. Beltrametti (1987)
Commentarii mathematici Helvetici
Phillip Griffiths, Joseph Harris (1979)
Annales scientifiques de l'École Normale Supérieure
Tommaso De Fernex (1998)
Collectanea Mathematica
F. L. Zak (2012)
Journal of the European Mathematical Society
We show that if the degree of a nonsingular projective variety is high enough, maximization of any of the most important numerical invariants, such as class, Betti number, and any of the Chern or middle Hodge numbers, leads to the same class of extremal varieties. Moreover, asymptotically (say, for varieties whose total Betti number is big enough) the ratio of any two of these invariants tends to a well-defined constant.
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