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The universal theta divisor over the moduli space of curves
universal theta divisor moduli space of curves
2010/11/26
The universal theta divisor over the moduli space Ag of principally polarized abelian varieties of dimension g, is the divisor g inside the universal abelian variety Xg over Ag.
Relative Quasiconvexity using Fine Hyperbolic Graphs
Relative Quasiconvexity Fine Hyperbolic Graphs
2010/12/8
We provide a new and elegant approach to relative quasi-convexity for relatively hyperbolic groups in the context of Bowditch’s approach to relative hyperbolicity using cocompact actions on fine hy-pe...
For any m > 1, we construct properly embedded minimal surfaces in H2 R with genus zero,
infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable nu...
Circle Decompositions of Surfaces
Topological surfaces circle partitions Jordan-Sch¨onflies Theorem upper semicontinuous decompositions
2010/11/29
We determine which connected surfaces can be partitioned into topological circles. There are exactly seven such surfaces up to homeomorphism: those of finite type, of Euler characteristic
zero, and w...
Proper asymptotic unitary equivalence in $\KK$-theory and projection lifting from the corona algebra
KK-theory proper asymtotic unitary equivalence ab-sorbing representation
2010/12/6
In this paper we generalize the notion of essential codimension of Brown, Douglas, and Fillmore using KK-theory and prove a result which asserts that there is a unitary of the
form ‘identity + compac...
Spectral Methods in PDE
Spectral Methods PDE
2010/11/30
This is to review some recent progress in PDE. The emphasis is on (energy)supercritical nonlinear Schr¨odinger equations. The methods are applicable to other nonlinear equations.
On a plane section of an integral curve in positive characteristic
Integral curve plane section minimal curve positive characteristic
2010/12/9
If C P3 k is an integral curve and k an algebraically closed field of characteristic 0, it is known that the points of the general plane section C \H of C are in uniform position. From this it follo...
One side invertibility for implicit hyperbolic systems with delays
Left invertibility implicit systems system with delays
2010/11/29
This paper deals with left invertibility problem of implicit hyperbolic systems with delays in infinite dimensional Hilbert spaces. From a decomposition procedure, invertibility for this class of syst...
In this paper we introduce a new geometric ow | the hyperbolic gradient ow for graphs in the (n + 1)-dimensional Euclidean space Rn+1.
On the Local Isometric Embedding in R^3 of Surfaces with Gaussian Curvature of Mixed Sign
Local Isometric Embedding R^3 of Surfaces Gaussian Curvature of Mixed Sign
2010/12/15
We study the old problem of isometrically embedding a 2-dimensional Rie-mannian manifold into Euclidean 3-space. It is shown that if the Gaussian curvature vanishes to finite order and its zero set co...
Hyperboloid preservation implies the Lorentz and Poincaré groups without dilations
mass shell momentum space velocity hyperboloid proper time velocity Lorentz transformation Poincar´ e transformation
2010/12/9
An analogue of the Alexandrov-Zeeman theorem, based on hyperboloid preservation, as opposed to light cone preservation, is provided. This char-acterizes exactly the Poincar´e group, as opposed t...
We introduce a notion of local tropical variety which is a straightforward extension of tropism introduced by Maurer, and prove a variant of the fundamental theorem of tropical algebraic geometry in s...
On Some Characterizations of Ruled Surface of a Closed Spacelike Curve with a Spacelike Binormal in Dual Lorentzian Space
Spacelike dual curve ruled surface Lorentzian space dual numbers
2010/12/8
In this paper, we investigate the relations between the pitch, the angle of pitch and drall of parallel ruled surface of a closed spacelike curve with a spacelike binormal in dual Lorentzian space.
For a large class of self-similar sets F in Rd, analogues of the higher order mean curvatures
of differentiable submanifolds are introduced, in particular, the fractal Gauss-type curvature.
They are...
On isolated smooth curves of low genera in Calabi-Yau complete intersection threefolds
isolated curves deformations Hilbert schemes Calabi-Yau threefolds
2010/12/10
Building on results of Clemens and Kley, we find criteria for a continuous family of curves in a nodal K-trivial threefold Y0 to deform to a scheme of finitely many smooth isolated curves in a general...