General double linkage of Gorenstein algebras is defined. Rigidity, genericity, and regularity
up to codimension six all pass across general double linkage. Rigid strongly unobstructed …

We prove that in the polynomial ring Q= k [x, y, z, w], with k an algebraically closed field of
characteristic zero, all Gorenstein homogeneous ideals I satisfying the inclusions (x, y, z, w) …

Three perspectives on n points in P Page 1 Three perspectives on n points in P n−2 Kevin H.
Wilson A Dissertation Presented to the Faculty of Princeton University in Candidacy for the …

1978 HERZOG AND MILLER essary conditions for an algebra to be linked to a complete
intersection. Since these algebras turn out to be hypersurface sections of codimension three …

We introduce codimension four Gorenstein algebras~(c) for each odd 5 2 3 and D (p) for
each even p 2 4. Each of these algebras is rigid, is in the linkage class of a complete …

We begin with a brief recapitulation of the definitions. Following this we intersperse open
problems, questions, and conjectures with summaries of the known results in three …

On the basis of homological properties of the homogeneous coordinate ring R (V) of an n-
dimensional projective Fano variety V over the field C estimates are obtained for the …

Пусть V—/г-мерное гладкое проективное алгебраическое многообра зие над полем С.
Если антиканонический пучок S {—Kv)=(Qvn)* явля ется обильным, то V будем …

A complete classification of codimension four Gorenstein rings has proved to be elusive. We
offer here the next best thing, sufficient for certain purposes: a classification of their Tor …

1.1. Первые определения. Рассмотрим гладкую (квази) проек тивную схему X над полем
k. Пусть Е и F—векторные расслоения на X, rk£'= m+ l, rkF= n+\, a A:(o-^ SF …