On quasismooth weighted complete intersections

نویسندگان
چکیده

برای دانلود رایگان 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

Toric complete intersections and weighted projective space

It has been shown by Batyrev and Borisov that nef partitions of reflexive polyhedra can be used to construct mirror pairs of complete intersection Calabi–Yau manifolds in toric ambient spaces. We construct a number of such spaces and compute their cohomological data. We also discuss the relation of our results to complete intersections in weighted projective spaces and try to recover them as sp...

متن کامل

Effective Non-vanishing for Fano Weighted Complete Intersections

We show that Ambro–Kawamata’s non-vanishing conjecture holds true for a quasi-smooth WCI X which is Fano or Calabi-Yau, i.e. we prove that, if H is an ample Cartier divisor on X , then |H | is not empty. If X is smooth, we further show that the general element of |H | is smooth. We then verify Ambro–Kawamata’s conjecture for any quasi-smooth weighted hypersurface. We also verify Fujita’s freene...

متن کامل

Complete Intersections on General Hypersurfaces

We ask when certain complete intersections of codimension r can lie on a generic hypersurface in Pn. We give a complete answer to this question when 2r ≤ n + 2 in terms of the degrees of the hypersurfaces and of the degrees of the generators of the complete intersection.

متن کامل

On the Regularity of Products and Intersections of Complete Intersections

This paper proves the formulae reg(IJ) ≤ reg(I) + reg(J), reg(I ∩ J) ≤ reg(I) + reg(J) for arbitrary monomial complete intersections I and J , and provides examples showing that these inequalities do not hold for general complete intersections.

متن کامل

Criteria for complete intersections

We establish two criteria for certain local algebras to be complete intersections. These criteria play an important role in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular. Introduction In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11]. We first fix some notation tha...

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 Algebraic Geometry

سال: 2011

ISSN: 1056-3911,1534-7486

DOI: 10.1090/s1056-3911-10-00542-4