2009/07/14 by Mauro C. Beltrametti, Beltrametti, Mauro C., Paltin Ionescu +1
Computer Science · Engineering · Mathematics · #14D05 #14E25 #14E30 #14J10 #14J45 (Primary) #14M99 #14N30 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Rings, Modules, and Algebras #graph theory and CDMA systems #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0907.2338
openalex publication_date 2009/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The philosophy that ``a projective manifold is more special than any of its smooth hyperplane sections" was one of the classical principles of projective geometry. Lefschetz type results and related vanishing theorems were among the typically used techniques. We shall survey most of the problems, results and conjectures in this area, using the modern setting of ample divisors, and (some aspects of) Mori theory.