Concavity, Abel transform and the Abel-inverse theorem in smooth complete toric varieties
نویسندگان
چکیده
منابع مشابه
A Codimension Theorem for Complete Toric Varieties
Let X be a complete toric variety with homogeneous coordinate ring S. In this article, we study the codimension in the critical degree of ideals of S generated by dim(X) + 1 homogeneous elements that don’t vanish simultaneously on X. Introduction In this paper, X will denote a complete toric variety of dimension n. We will work over C, so that the torus of X is (C). The dual lattices will be de...
متن کاملReconstruction of Abel-transformable images: The Gaussian basis-set expansion Abel transform method
In this article we present a new method for reconstructing three-dimensional ~3D! images with cylindrical symmetry from their two-dimensional projections. The method is based on expanding the projection in a basis set of functions that are analytical projections of known well-behaved functions. The original 3D image can then be reconstructed as a linear combination of these well-behaved functio...
متن کاملVariat ions on a Theorem of Abel
III. . . . . . . . . . . . . . . . . . . . . . . . . 321 Abel's Theorem in Original Form and Applications . . . . . . 327 (a) Origins of the Theorem and Abel's Proof . . . . . . . . . 327 (b) Inversion of the Trigonometric and Elliptic Integrals . . . . 335 (c) Singular Cubics-General Addition Theorems . . . . . . . 339 (d) The Poncelet Theorem . . . . . . . . . . . . . . . . . 345 Abel's Theor...
متن کاملThe Jacobian, the Abel-jacobi Map, and Abel’s Theorem
A natural question to ask is: which divisors of degree 0 do not arise from meromorphic functions? The answer is given in a theorem of Abel, which we will present here. Since each divisor up to linear equivalence also corresponds to an isomorphism class of line bundles of degree 0, we will also be able to use Abel’s theorem to classify degree 0 line bundles on X as points of a complex torus call...
متن کاملK-theory of Smooth Complete Toric Varieties and Related Spaces
The K-rings of non-singular complex projective varieties as well as quasitoric manifolds were described in terms of generators and relations in an earlier work of the author with V. Uma. In this paper we obtain a similar description for complete non-singular toric varieties. Indeed, our approach enables us to obtain such a description for the more general class of torus manifolds with locally s...
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: Collectanea Mathematica
سال: 2011
ISSN: 0010-0757,2038-4815
DOI: 10.1007/s13348-011-0050-z