Arithmetically Buchsbaum divisors on varieties of minimal degree
نویسندگان
چکیده
منابع مشابه
On the Universal Gröbner Bases of Varieties of Minimal Degree
A universal Gröbner basis of an ideal is the union of all its reduced Gröbner bases. It is contained in the Graver basis, the set of all primitive elements. Obtaining an explicit description of either of these sets, or even a sharp degree bound for their elements, is a nontrivial task. In their ’95 paper, Graham, Diaconis and Sturmfels give a nice combinatorial description of the Graver basis f...
متن کاملCanonical Divisors on T-varieties
Generalising toric geometry we study compact varieties admitting lower dimensional torus actions. In particular we describe divisors on them in terms of convex geometry and give a criterion for their ampleness. These results may be used to study Fano varieties with small torus actions. As a first result we classify log del Pezzo C∗-surfaces of Picard number 1 and Gorenstein index ≤ 3. In furthe...
متن کاملExistence of good divisors on Mukai varieties
A normal projective variety X is called Fano if a multiple of the anticanonical Weil divisor, −KX , is an ample Cartier divisor. The importance of Fano varieties is twofold, from one side they give, has predicted by Fano [Fa], examples of non rational varieties having plurigenera and irregularity all zero (cfr [Is]); on the other hand they should be the building block of uniruled variety. Indee...
متن کاملOn Projective Varieties with Nef Anticanonical Divisors
The aim of this note is to prove a structure theorem for projective varieties with nef anticanonical divisors (the Main Theorem). In [18], we showed that if X is smooth and −KX is nef, then the Albanese map AlbX : X → Alb(X) is surjective and has connected fibers (i.e., it is a fiberspace map). In this note we apply the techniques which have been developed in [2],[14] and [19] to prove the foll...
متن کاملGerms of Integrable Forms and Varieties of Minimal Degree
We study the subvariety of integrable 1-forms in a finite dimensional vector space W ⊂ Ω(C, 0). We prove that the irreducible components with dimension comparable with the rank of W are of minimal degree.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02357-0