The total coordinate ring of a normal projective variety

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Total Coordinate Ring of a Wonderful Variety

We study the cone of effective divisors and the total coordinate ring of wonderful varieties, with applications to their automorphism group. We show that the total coordinate ring of any spherical variety is obtained from that of the associated wonderful variety by a base change of invariant subrings.

متن کامل

The Homogeneous Coordinate Ring of a Toric Variety

This paper will introduce the homogeneous coordinate ring S of a toric variety X . The ring S is a polynomial ring with one variable for each one-dimensional cone in the fan ∆ determining X , and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X) of X (where n = dimX). Using this graded ring, we will show that X behaves like projective space ...

متن کامل

Big Divisors on a Projective Symmetric Variety

We describe the big cone of a projective symmetric variety. Moreover, we give a necessary and sufficient combinatorial criterion for the bigness of a nef divisor (linearly equivalent to a G-stable divisor) on a projective symmetric variety. When the variety is toroidal, such criterion has an explicitly geometrical interpretation. Finally, we describe the spherical closure of a symmetric subgrou...

متن کامل

Regularity of the Secant Variety to a Projective Curve

We give a sharp bound on the regularity of the secant variety to a smooth curve embedded by a line bundle of large (effective) degree.

متن کامل

Hilbert Polynomials and the Degree of a Projective Variety

If X ⊂ P is an irreducible projective variety, then the homogeneous coordinate ring Γ(X) has a natural grading, and it is reasonable to ask how the size of the graded components Γ(X)m varies with m. Geometrically, this is tantamount to asking how many hypersurfaces of each degree m contain X, for such a hypersurface is given by a homogeneous polynomial of degree m in I(X)– that is, an element o...

متن کامل

ذخیره 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: Journal of Algebra

سال: 2004

ISSN: 0021-8693

DOI: 10.1016/j.jalgebra.2003.07.007