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THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
We consider the ring of invariants of n points on the projective line. The space (P
1)
n//PGL2 is
perhaps the first nontrivial example of a Geometry Invariant Theory quotient. The constructio...
Cohomology of Line Bundles on the Flag Variety for Type G_2
Cohomology of Line Bundles the Flag Variety Quantum Algebra
2011/9/9
Abstract: In the case of an almost simple algebraic group $G$ of type $G_2$ over a field of characteristic $p>0$ we study the cohomology modules of line bundles on the flag variety for $G$. Our main r...
Throughput and Latency in Finite-Buffer Line Networks
Throughput Latency Finite-Buffer Line Networks
2011/1/21
This work investigates the effect of finite buffer sizes on the throughput capacity and packet delay of line networks with packet erasure links that have perfect feedback. These performance measures a...
The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step like initial profile decaying on the right half line
Korteweg-de Vries equation inverse scattering transform Schr ¨odinger operator
2011/3/1
We are concerned with the Cauchy problem for the KdV equation on the whole line with an initial profile V0 which is decaying sufficiently fast at +¥ and arbitrarily enough (i.e., no decay or patte...
Quantitative Isoperimetric Inequalities on the Real Line
Quantitative Isoperimetric Inequalities the Real Line
2010/11/23
In a recent paper A. Cianchi, N. Fusco, F. Maggi, and A. Pratelli have shown that, in the Gauss space, a set of given measure and almost minimal Gauss boundary measure is necessarily close to be a hal...
The algebra of integro-differential operators on an affine line and its modules
algebra integro-differential operators affine line
2010/11/19
For the algebra $\mI_1= K\langle x, \frac{d}{dx}, \int \rangle$ of polynomial integro-differential operators over a field $K$ of characteristic zero, a classification of simple modules is given. It i...
Arithmetic properties of centralizers of diffeomorphisms of the half-line
Arithmetic properties centralizers diffeomorphisms
2010/11/22
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1_f i...
Splitting Line Patterns in Free Groups
free group group splitting line pattern Whitehead graph
2010/12/6
There is a canonical JSJ-decomposition of a free group relative to a line pattern. This provides a characterization of virtually geometric multiwords. They are the multiwords that are built from geome...
Line arrangements and direct sums of free groups
Line arrangements direct sums of free groups
2010/12/13
We show that if the fundamental groups of the complements of two line arrangements in the complex projective plane are isomorphic to the same direct sum of free groups, then the complements of the arr...
Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E13
Minkowski space A generalized relaxed elastic line Intrinsic equation Variational problem
2010/2/25
H. K. Nickerson and Gerald S. Manning [8] derived the intrinsic equations for a relaxed elastic line on an oriented surface in the Euclidean 3-dimensional space E3. In this paper, we define a generali...
Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions
boundary value problems lower and upper solutions Schauder's fixed point theorem
2007/12/11
This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.
THE COHOMOLOGY OF LINE BUNDLES ON NON-PRIMARY HOPF MANIFOLDS
non-primary Hopf manifold cohomology line bundles Douady sequence
2007/12/10
The purpose of the present paper is to give an elementary method for the computation of the cohomology groups $H^{q}(X,\Omega^{p}_{X}(L)) ,\ (0\leq q\leq n)$ of an n-dimensional non-primary Hopf manif...