K3 Projective Models in Scrolls

Introduction.- 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.

lt;p>From the reviews:

"The aim of this book is to give a description of projective models of K3 surfaces. It is clearly written and presents a complete exposition on the subject. The proofs use a variety of important techniques in projective geometry. ... A graduate student interested in projective algebraic geometry could find this book quite useful and inspiring." (Sandra Di Rocco, Mathematical Reviews, Issue 2005 g)