搜索结果: 1-15 共查到“理学 toric varieties”相关记录17条 . 查询时间(0.109 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arithmetic purity of strong approximation for complete toric varieties
完整 复曲面品种 强近似 算术纯度
font style='font-size:12px;'>
2023/4/18
In this talk, I will discuss arithmetic purity of strong approximation : motivations and related results. Finally, for complete toric varieties, I will briefly explain my work on this topic.
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
font style='font-size:12px;'>
2012/7/11
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
Lagrangian fibrations blowups of toric varieties mirror symmetry hypersurfaces Algebraic Geometry
font style='font-size:12px;'>
2012/5/9
We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) conjecture. Given a hypersurface ...
Smooth toric varieties are Oka
Toric variety Oka manifold Algebraic Geometry
font style='font-size:12px;'>
2011/9/14
Abstract: In this brief note, we show that every smooth toric variety over the field of complex numbers is an Oka manifold.
A stellar proof of Hirzebruch-Riemann-Roch for toric varieties
Toric variety Chow ring cohomology
font style='font-size:12px;'>
2011/8/24
Abstract: We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.
A note on the Frobenius morphism on toric varieties
note Frobenius morphism toric varieties
font style='font-size:12px;'>
2011/1/20
We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.
Degeneration of Kaehler structures and half-form quantization of toric varieties
Kaehler structures half-form quantization
font style='font-size:12px;'>
2010/11/19
We study the half-form Kaehler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[\omega/2\pi]-c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}})$ and is nonnegative. We define the half-f...
Cartier modules on toric varieties
Cartier modules toric varieties
font style='font-size:12px;'>
2010/11/9
Assume that $X$ is an affine toric variety of characteristic $p > 0$. Let $\Delta$ be an effective toric $Q$-divisor such that $K_X+\Delta$ is $Q$-Cartier with index not divisible by $p$ and let $\ph...
Arithmetic Motivic Poincaré series of toric varieties
Arithmetic Motivic Poincaré series toric varieties
font style='font-size:12px;'>
2010/11/22
The arithmetic motivic Poincar\'e series of a variety $V$ defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by analogy with the Ser...
Cobordism ring of toric varieties
Cobordism ring toric varieties
font style='font-size:12px;'>
2010/11/9
We describe the equivariant cobordism ring of smooth toric varieties. This equivariant description is used to compute the ordinary cobordism ring of such varieties.
Reduced Gröbner Bases of Certain Toric Varieties; A New Short Proof
Reduced Grö bner Bases Certain Toric Varieties New Short Proof
font style='font-size:12px;'>
2010/11/30
Let K be a field and let m0, ...,mn be an almost arithmetic sequence of positive integers. Let C be a toric variety in the affine (n + 1)-space,defined parametrically by x0 = tm0 , . . . , xn = tmn. I...
Betti numbers of toric varieties and eulerian polynomials
Betti numbers of toric varieties eulerian polynomials
font style='font-size:12px;'>
2010/12/3
It is well-known that the Eulerian polynomials, which count permutations in Sn by their number of descents, give the h-polynomial/h-vector of the simple polytopes known as permutohedra, the convex hul...
Extensions of Toric Varieties
toric variety Hilbert function of a local ring tangent cone syzygy
font style='font-size:12px;'>
2010/11/29
In this paper, we introduce the notion of “extension” of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being...
Deformations of chiral algebras and quantum cohomology of toric varieties
chiral algebras quantum cohomology toric varieties
font style='font-size:12px;'>
2010/11/1
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential. The deformation technique allows...
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
Cohomology Toric Varieties Local Monomial Supports
font style='font-size:12px;'>
2010/11/1
We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-grading such that each com...