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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...
THE RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE
RELATIONS AMONG INVARIANTS POINTS ON THE PROJECTIVE LINE
2015/10/14
THE RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE.
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
We use Klee’s Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalai’s conjecture providing lower bounds on the f-vectors of an even-dim...
COMBINATORIAL HOPF ALGEBRAS AND GENERALIZED DEHN-SOMMERVILLE RELATIONS
Hopf algebra, character, generalized Dehn-Sommerville relations
2015/8/14
A combinatorial Hopf algebra is a graded connected Hopf algebra over
a field k equipped with a character (multiplicative linear functional) : H → k.
We show that the terminal object in the categor...
The ring of projective invariants of n ordered points on the projective line is one of the most
basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
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...
Functional relations and Bethe Ansatz for the open XXZ chain
Functional relations Bethe Ansatz XXZ chain
2015/3/19
Functional relations and Bethe Ansatz for the open XXZ chain.
Optimal relations between Lp-norms for the Hardy operator and its dual
Hardy operator Dual operator Best constants
2012/6/29
We obtain sharp two-sided inequalities between $L^p-$norms $(1infty)$ of functions $Hf$ and $H^*f$, where $H$ is the Hardy operator, $H^*$ is its dual, and $f$ is a nonnegative measurable function...
Conservation relations for local theta correspondence
conservation relation theta correspondence oscillator representation degenerate principal series
2012/4/16
We prove Kudla-Rallis's conjecture on first occurrences of orthogonal-symplectic dual pair correspondence, for a local field of characteristic zero.
Three Applications to Rational Relations of the High Undecidability of the Infinite Post Correspondence Problem in a Regular omega-Language
Decision problems infinite Post Correspondence Problem analytical hierarchy high undecidability infinitary rational relations
2011/10/10
Abstract: It was noticed by Harel in [Har86] that "one can define $\Sigma_1^1$-complete versions of the well-known Post Correspondence Problem". We first give a complete proof of this result, showing ...
Recursion Relations and Functional Equations for the Riemann Zeta Function
Riemann zeta function zeros of zeta function recursion relation of zeta function functional equation of zeta function
2011/9/14
Abstract: New recursion relations for the Riemann zeta function are introduced. Their derivation started from the standard functional equation. The new functional equations have both real and imaginar...
Generalized Lantern Relations and Planar Line Arrangements
Generalized Lantern Relations Planar Line Arrangements Geometric Topology
2011/8/24
Abstract: In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that...
Recurrence Relations for Strongly q-Log-Convex Polynomials
log-concave q-log-convexity strong q-log-convexity Bell polynomials Bessel polynomials Ramanujan polynomials Dowling polynomials
2014/6/3
We consider a class of strongly q-log-convex polynomials based on a triangular recurrence relation with linear coefficients, and we show that the Bell polynomials, the Bessel polynomials, the Ramanuja...
Relations between $\beta$ and $\delta$ for QP and LP in Compressed Sensing Computations
Relations $\beta$ and $\delta$ QP LP Compressed Sensing Computations
2011/2/25
In many compressed sensing applications, linear programming (LP) has been used to reconstruct
a sparse signal.