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K3 Projective Models in Scrolls

Lecture Notes in Mathematics 1842

Erschienen am 13.05.2004
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Bibliografische Daten
ISBN/EAN: 9783540215059
Sprache: Englisch
Umfang: viii, 172 S.
Einband: kartoniertes Buch

Autorenportrait

InhaltsangabeIntroduction.- Surfaces in scrolls.- The Clifford index of smooth curves in L and the definition of the scrolls T(c, D, {D_{\lamda}}).- Two existence theorems.- The singular locus of the surface S´ and the scroll T.- Postponed proofs.- Projective models in smooth scrolls.- Projective models in singular scrolls.- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices.- BN general and Clifford general K3 surfaces.- Projective models of K3 surfaces of low genus.- Some applications and open questions.- References.- Index.

Inhalt

Introduction.- Surfaces in scrolls.- The Cliffordindex of smooth curves in|L| and the definition of the scrolls T(c, D, {D_{\lamda}}).- Two existence theorems.- The singular locus of the surface S´ and the scroll T.-Postponed proofs.- Projective models in smooth scrolls.- Projective models in singular scrolls.- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices.- BN general and Clifford general K3 surfaces.- Projective models of K3 surfaces of low genus.- Some applications and open questions.- References.- Index.