搜索结果: 1-15 共查到“代数学 surfaces”相关记录25条 . 查询时间(0.076 秒)
On the blow-up set of the Yang–Mills flow on Kahler surfaces
blow-up set Yang–Mills flow Kahler surfaces
2015/12/17
The Yang–Mills flow on a Kahler surface with holomorphic initial data converges smoothly away from a singular set determined by the Harder–Narasimhan–Seshadri filtration of the initial holomorphic bun...
Caporaso and Harris derive recursive formulas counting nodal plane
curves of degree d and geometric genus g in the plane (through the appropriate number of xed
general points). We rephrase their ar...
Secant Degree of Toric Surfaces and Delightful Planar Toric Degenerations
Toric varieties secant varieties degenerations polytopes
2011/1/20
The k-secant degree is studied with a combinatorial approach. A planar toric degeneration of any projective toric surface X corresponds to a regular unimodular trian-gulation D of the polytope definin...
For m 2 N,m 1, we determine the irreducible components of the m − th jet scheme of a toric
surface S. For m big enough, we connect the number of a class of these irreducible components to the...
New series in the Johnson cokernels of the mapping class groups of surfaces
New series Johnson cokernels mapping class groups of surfaces
2011/1/20
Let g,1 be a compact oriented surface of genus g with one boundary component,andMg,1 its mapping class group. Morita showed that the image of the k-th Johnson homomorphism M
k of Mg,1 is contained ...
Universal Polynomials for Severi Degrees of Toric Surfaces
Enumerative geometry toric surfaces Gromov-Witten theory
2011/2/25
The Severi variety parameterizes plane curves of degree d with nodes.Its degree is called the Severi degree. For large enough d, the Severi degrees coincide with the Gromov-Witten invariants of CP2....
Krein formula and S-matrix for Euclidean Surfaces with Conical Singularities
Krein formula S-matrix Euclidean Surfaces
2010/11/24
We use Krein formula and the S-matrix formalism to give formulas for the zeta-regularized determinant of non-Friedrichs extensions of the Laplacian on Euclidean surfaces with Conical Singularities. Th...
We show that every closed Lorentzian surface contains at least two closed geodesics. Explicit examples show the optimality of this claim. Refining this result we relate the least number of closed geo...
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
Surfaces with parallel mean curvature in $\mathbb{C}P^n\times\mathbb{R}$ and $\mathbb{C}H^n\times\mathbb{R}$
Surfaces with parallel mean curvature math
2010/11/24
We consider surfaces with parallel mean curvature vector (pmc surfaces) in $\mathbb{C}P^n\times\mathbb{R}$ and $\mathbb{C}H^n\times\mathbb{R}$, and, more generally, in cosymplectic space forms. We in...
An Invariant Theory of Spacelike Surfaces in the Four-dimensional Minkowski Space
Invariant Theory Spacelike Surfaces
2010/11/23
We consider spacelike surfaces in the four-dimensional Minkowski space and introduce geometrically an invariant linear map of Weingarten-type in the tangent plane at any point of the surface under con...
An analogue of the Harer-Zagier formula for unicellular maps on general surfaces
the Harer-Zagier formula unicellular maps on general surfaces
2010/11/15
A unicellular map is the embedding of a connected graph in a surface in such a way that the complement of the graph is simply connected. In a famous article, Harer and Zagier established a formula fo...
Minimal immersions of closed surfaces in hyperbolic three-manifolds
Minimal immersions closed surfaces in hyperbolic three-manifolds
2010/11/11
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surfac...
Classification of non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice
K3 surface non-symplectic automorphism
2010/12/10
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
Frobenius extensions play a central role in the link homology theories based upon the sl(n)
link variants, and each of these Frobenius extensions may be recast geometrically via a category of marked ...