Nakai–Moishezon ampleness criterion for real line bundles
نویسندگان
چکیده
We show that the Nakai–Moishezon ampleness criterion holds for real line bundles on complete schemes. As applications, we treat relative and algebraic spaces. The main ingredient of this paper is Birkar’s characterization augmented base loci divisors projective
منابع مشابه
Noncommutative Tori, Real Multiplication and Line Bundles
This thesis explores an approach to Hilbert's twelfth problem for real quadratic number elds, concerning the determination of an explicit class eld theory for such elds. The basis for our approach is a paper by Manin proposing a theory of Real Multiplication realising such an explicit theory, analogous to the theory of Complex Multiplication associated to imaginary quadratic elds. Whereas ellip...
متن کاملA Method for Establishing a Support Criterion or Poverty Line
In this paper, a method for establishing a support criterion or poverty line is developed based on Engel’s Law and domestic nutritional values. The support criterion is differentiated across rural and urban areas. An important result is that for 1989, people who spend less than 108,000 Rials annually lie inside the poverty line in urban areas. A further important result is that food should be g...
متن کاملCriteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces
Very ampleness criteria for rank 2 vector bundles over smooth, ruled surfaces over rational and elliptic curves are given. The criteria are then used to settle open existence questions for some special threefolds of low
متن کاملNumerical Criteria for Very Ampleness of Divisors on Projective Bundles over an Elliptic Curve
Let D be a divisor on a projectivized bundle over an elliptic curve. Numerical conditions for the very ampleness of D are proved. In some cases a complete numerical characterization is found. Mathematics Subject Classification: Primary:14H60.Secondary:14C20.
متن کاملCriteria for Σ-ampleness
In the noncommutative geometry of Artin, Van den Bergh, and others, the twisted homogeneous coordinate ring is one of the basic constructions. Such a ring is defined by a σ-ample divisor, where σ is an automorphism of a projective scheme X. Many open questions regarding σ-ample divisors have remained. We derive a relatively simple necessary and sufficient condition for a divisor on X to be σ-am...
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: Mathematische Annalen
سال: 2022
ISSN: ['1432-1807', '0025-5831']
DOI: https://doi.org/10.1007/s00208-021-02354-9