The exposition reviews projective types of K3 surfaces whose hyperplane sections are non-Clifford normal curves. those versions are contained in rational common scrolls. The exposition vitamins usual descriptions of types of normal K3 surfaces in projective areas of low measurement, and results in a type of K3 surfaces in projective areas of measurement at so much 10. The authors convey additional the guidelines in Saint-Donat's classical article from 1974, lifting effects from canonical curves to K3 surfaces and incorporating a lot of the Brill-Noether concept of curves and idea of syzygies built in the interim.
Read Online or Download K3 Projective Models in Scrolls (Lecture Notes in Mathematics) PDF
Similar Algebraic Geometry books
The writer, a number one determine in algebraic topology, offers a latest therapy of an extended validated set of questions during this very important examine zone. The book's significant objective--and major result--is the category theorem on k-variants and boundary invariants, which complement the classical photo of homology and homotopy teams, in addition to computations of sorts which are bought via utilizing this theorem.
In response to a path given to proficient high-school scholars at Ohio collage in 1988, this e-book is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It well bridges the distance among conventional books on topology/analysis and extra really expert treatises on fractal geometry.
This quantity comprises the multiplied lectures given at a convention on quantity thought and mathematics geometry held at Boston collage. It introduces and explains the numerous rules and methods utilized by Wiles, and to give an explanation for how his outcome will be mixed with Ribets theorem and concepts of Frey and Serre to end up Fermats final Theorem.
Additional info for K3 Projective Models in Scrolls (Lecture Notes in Mathematics)