搜索结果: 16-30 共查到“数学 Singularities”相关记录79条 . 查询时间(0.018 秒)
Singularities of the moduli space of level curves
Singularities moduli space of level curves Algebraic Geometry
2012/5/9
For a fixed integer l>1, we describe the singular locus of the compactification of the moduli space R_{g,l} of curves of genus g paired with an l-torsion point in their Jacobian. Generalizing previous...
Singularities and nonhyperbolic manifolds do not coincide
Semi-dispersing billiards hyperbolicity ergodicity local ergodicity invariant manifolds Chernov–Sinai Ansatz
2012/5/9
We consider the billiard flow of elastically colliding hard disks on the flat 2-torus and prove that no singularity manifold can locally coincide with a manifold describing future non-hyperbolicity of...
Diffraction from conormal singularities
Diffraction conormal singularities Analysis of PDEs
2012/4/23
In this paper we show that for metrics with conormal singularities that correspond to class C^{1,\alpha} with \alpha>0, the reflected wave is more regular than the incident wave in a Sobolev sense. Th...
On the classification of rational surface singularities
classification rational surface singularities Algebraic Geometry
2012/4/17
A general strategy is given for the classification of graphs of rational surface singularities. For each maximal rational double point configuration we investigate the possible multiplicities in the f...
A type of the Lefschetz hyperplane section theorem on \Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities
Lefschetz hyperplane section theorem Algebraic Geometry
2011/9/23
Abstract: We prove a type of the Lefschetz hyperplane section theorem on Q-Fano 3-folds with Picard number one and $1/2(1,1,1)$-singularities by using some degeneration method. As a byproduct, we obta...
Resolution except for minimal singularities II. The case of four variables
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities ex...
Resolution except for minimal singularities I
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The idea is used...
Computing the Singularities of Rational Surfaces
Singularities of Rational Surfaces Algebraic Geometry
2011/9/21
Abstract: Given a rational projective parametrization $\cP(\ttt,\sss,\vvv)$ of a rational projective surface $\cS$ we present an algorithm such that, with the exception of a finite set (maybe empty) $...
Mean curvature flow of Lagrangian submanifolds with isolated conical singularities
Lagrangian submanifolds isolated conical singularities Differential Geometry
2011/9/20
Abstract: In this paper we study the short time existence problem for the (generalized) Lagrangian mean curvature flow in (almost) Calabi--Yau manifolds when the initial Lagrangian submanifold has iso...
Isolated Singularities of Nonlinear Polyharmonic Inequalities
Isolated singularity Polyharmonic Analysis of PDEs
2011/9/19
Abstract: We obtain results for the following question where $m\ge 1$ and $n\ge 2$ are integers. {\bf Question.} For which continuous functions $f\colon [0,\infty)\to [0,\infty)$ does there exist a co...
On the existence of curves with $A_k$-singularities on $K3$-surfaces
versal deformations tacnodes Severi varieties K3 surfaces Ak-singularities
2011/9/19
Abstract: Let $(S,H)$ be a general primitively polarized $K3$ surface. We prove the existence of curves in $|\mathcal O_S(nH)|$ with $A_k$-singularities and corresponding to regular points of the equi...
F-singularities via alterations
Test ideal multiplier ideal alteration rational singularities F-rational singularities Nadel vanishing
2011/9/15
Abstract: For a normal F-finite variety $X$ and a boundary divisor $\Delta$ we give a uniform description of an ideal which in characteristic zero yields the multiplier ideal, and in positive characte...
New examples of terminal and log canonical singularities
New examples of terminal log canonical singularities Algebraic Geometry
2011/9/8
Abstract: We give new examples of terminal and log canonical singularities.
Extending cutoff resolvent estimates via propagation of singularities
cutoff resolvent estimates propagation of singularities Analysis of PDEs
2011/9/9
Abstract: We use a gluing method developed in joint work with Andr\'as Vasy to show that polynomially bounded cutoff resolvent estimates at the real axis imply, up to a constant factor, the same estim...
Macdonald formula for curves with planar singularities
Macdonald formula planar singularities curves Algebraic Geometry
2011/9/1
Abstract: We generalize Macdonald's formula for the cohomology of Hilbert schemes of points on a curve from smooth curves to curves with planar singularities: we relate the cohomology of the Hilbert s...