Page 1 DE GRUYTER Mauro C. Beltrametti EXPOSITIONS IN MATHEMATICS 16 Andrew J.
Sommese The Adjunction Theory of Complex Projective Varieties W DE G Page 2 ! Page 3 de …

Let S be a smooth complex algebraic surface and let L be a divisor on S. It is well-known that
the linear system IL+ KsI, where Ks is the canonical divisor, plays an important role in …

The aim of this book is to present certain fundamental facts in the theory of algebraic
surfaces, defined over an algebraically closed field lk of arbitrary characteristic. The book is …

Restricting linear syzygies: algebra and geometry Page 1 Compositio Math. 141 (2005)
1460–1478 doi:10.1112/S0010437X05001776 Restricting linear syzygies: algebra and …

Introduction. Let L be a numerically effective and big line bundle on a smooth projective
surface S. Questions about the spannedness and very ampleness of Ks (R) L arise naturally; …

We give illustrative examples of how OSCAR can support research in commutative algebra
and algebraic geometry. We start with a thorough introduction to Gröbner basis techniques …

Several years ago we have started a program aiming at a classification of embedded
smooth projective varieties (over I) following the values of their numerical invariants …

type: there is a smooth irreducible subvariety V of pr such that poa is a morphism, where a is
the blow-up of V in pr. For r= 2 it is easily shown that no< p exist; while for r= 3, there is …

We classify linearly normal surfaces S⊆ Pr+ 1 of degree d such that 4g− 4⩽ d⩽ 4g+ 4,
where g> 1 is the sectional genus (it is a classical result that for larger d there are only …

A h–instanton sheaf on a closed subscheme X of some projective space endowed with an
ample and globally generated line bundle OX (h) is a coherent sheaf whose cohomology …