Results 31 to 40 of about 2,805,734 (255)

Diophantine geometry and toric varieties

, 2005
Submitted to the C. R. Acad. Sci.
Philippon, Patrice, Sombra, Martin
openaire   +4 more sources

Residues in toric varieties [PDF]

Compositio Mathematica, 1997
We study residues on a complete toric variety $X$ , which are defined in terms of the homogeneous coordinate ring of $X$ . We first prove a global transformation law for toric residues.
Cattani, E, Cox, D, Dickenstein, A
openaire   +3 more sources

Quantum K-theory of toric varieties, level structures, and 3d mirror symmetry [PDF]

Advances in Mathematics, 2020
We introduce a new version of 3d mirror symmetry for toric stacks, inspired by a 3d $\mathcal{N} = 2$ abelian mirror symmetry construction in physics. Given some toric data, we introduce the $K$-theoretic $I$-function with effective level structure for ...
Y. Ruan, Yaoxiong Wen, Zijun Zhou
semanticscholar   +1 more source

Approximating rational points on toric varieties [PDF]

Transactions of the American Mathematical Society, 2020
Given a smooth projective variety $X$ over a number field $k$ and $P\in X(k)$, the first author conjectured that in a precise sense, any sequence that approximates $P$ sufficiently well must lie on a rational curve.
David McKinnon, M. Satriano
semanticscholar   +1 more source

Finiteness theorems for algebraic tori over function fields

Comptes Rendus. Mathématique, 2021
We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
doaj   +1 more source

The cohomology rings of smooth toric varieties and quotients of moment-angle complexes [PDF]

Geometry and Topology, 2019
Partial quotients of moment-angle complexes are topological analogues of smooth, not necessarily compact toric varieties. In 1998, Buchstaber and Panov proposed a formula for the cohomology ring of such a partial quotient in terms of a torsion product ...
M. Franz
semanticscholar   +1 more source

Virtual resolutions of monomial ideals on toric varieties [PDF]

Proceedings of the American Mathematical Society, Series B, 2019
We use cellular resolutions of monomial ideals to prove an analog of Hilbert’s syzygy theorem for virtual resolutions of monomial ideals on smooth toric varieties.
J. Yang
semanticscholar   +1 more source

Brane Quantization of Toric Poisson Varieties [PDF]

Communications in Mathematical Physics, 2021
In this paper we propose a noncommutative generalization of the relationship between compact Kähler manifolds and complex projective algebraic varieties.
Francis Bischoff, M. Gualtieri
semanticscholar   +1 more source

Stability of Equivariant Vector Bundles over Toric Varieties [PDF]

Documenta Mathematica, 2019
We give a complete answer to the question of (semi)stability of tangent bundle of any nonsingular projective complex toric variety with Picard number 2 by using combinatorial crietrion of (semi)stability of an equivariant sheaf.
Jyotirindra Dasgupta, A. Dey, Bivas Khan
semanticscholar   +1 more source

Curve and surface construction based on the generalized toric-Bernstein basis functions

Open Mathematics, 2020
The construction of parametric curve and surface plays an important role in computer aided geometric design (CAGD), computer aided design (CAD), and geometric modeling.
Li Jing-Gai, Zhu Chun-Gang
doaj   +1 more source