4 citations · 9 across the 12 of their papers we have counts for
13 papers
-bic hypersurfaces and their Fano schemes
Raymond Cheng
A -bic hypersurface is a hypersurface in projective space of degree , where is a power of the positive ground field characteristic, whose equation consists of monomials…
-bic forms
Raymond Cheng
A -bic form is a pairing that is linear in the second variable and -power Frobenius linear in the first; here, is a vector space over a field…
On Interpolation by Functions in
Raymond Cheng, Christopher Felder
This work explores several aspects of interpolating sequences for , the space of analytic functions on the unit disk with -summable Maclaurin coefficients. Much of thi…
Geometry of -bic Hypersurfaces
Raymond Cheng
Traditional algebraic geometric invariants lose some of their potency in positive characteristic. For instance, smooth projective hypersurfaces may be covered by lines despite bein…
On the geometry of the multiplier space of
Raymond Cheng, Christopher Felder
For , some properties of the space of multipliers on are derived. In particular, the failure of the weak parallelogram l…
Zeros of optimal polynomial approximants in
Raymond Cheng, William T. Ross, Daniel Seco
The study of inner and cyclic functions in spaces requires a better understanding of the zeros of the so-called optimal polynomial approximants. We determine that a poin…
Unbounded negativity on rational surfaces in positive characteristic
Raymond Cheng, Remy van Dobben de Bruyn
We give explicit blowups of the projective plane in positive characteristic that contain smooth rational curves of arbitrarily negative self-intersection, showing that the Bounded…
Inner vectors for Toeplitz operators
Raymond Cheng, Javad Mashreghi, William T. Ross
In this paper we survey and bring together several approaches to obtaining inner functions for Toeplitz operators. These approaches include the classical definition, the Wold decom…
Inner functions in reproducing kernel spaces
Raymond Cheng, Javad Mashreghi, William T. Ross
In this paper we explore the notion of inner function in a broader context of operator theory.
Optimal Weak Parallelogram Constants for Spaces
Raymond Cheng, Javad Mashreghi, William T. Ross
Inspired by Clarkson's inequalities for and continuing work from \cite{CR}, this paper computes the optimal constant in the weak parallelogram laws $$ \|f + g \|^r + C\|f…
Inner functions and zero sets for
Raymond Cheng, Javad Mashreghi, William T. Ross
In this paper we characterize the zero sets of functions from (the analytic functions on the open unit disk whose Taylor coefficients form an sequence)…
Combinatorial Iterated Integrals and the Harmonic Volume of Graphs
Raymond Cheng, Eric Katz
Let be a connected bridgeless metric graph, and fix a point of . We define combinatorial iterated integrals on along closed paths at , a unipotent generalization…
Combinatorial aspects of the quantized universal enveloping algebra of
Raymond Cheng, David M. Jackson, Geoffrey Stanley
Quasi-triangular Hopf algebras were introduced by Drinfel'd in his construction of solutions to the Yang--Baxter Equation. This algebra is built upon $\mathcal{U}_h(\mathfrak{sl}_2…