Add to ORKGDedicated to Professor Shreeram Abhyankar on his seventieth birthday Abstract. We give three determinantal expressions for the Hilbert series as well as the Hilbert function of a Pfaffian ring, and a closed form product formula for its multiplicity. An appendix outlining some basic facts about degeneracy loci and applications to multiplicity formulae for Pfaffian rings is also included.
In this work, we present "infinite" multiplicative formulae for countable collections of sums of squ...
There is a longstanding conjecture by Fröberg about the Hilbert series of the ring R∕I, where R is a...
AbstractWe introduce a conjectured way of expressing the Hilbert series of diagonal harmonics as a w...
In this paper we collect some results on Hilbert series and a-invariant of two classes of rings defi...
This paper contains a number of practical remarks on Hilbert series that we ex-pect to be useful in ...
This paper contains a number of practical remarks on Hilbert series that we expect to be useful in v...
AbstractWe use the results of our paper p-Fractals and power series—I [P. Monsky, P. Teixeira, p-Fra...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
The coordinate rings of the classical determinantal varieties are each isomorphic to a classical inv...
AbstractThe denominator of the Hilbert series of a finitely generated R-module M does not always div...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
AbstractLet d1,…,dr be positive integers. We show that there are only finitely many Hilbert function...
We consider algebraic varieties defined by the vanishing of all minors of a fixed size of a rectangu...
AbstractWe note certain properties of the Hilbert–Kunz function and Hilbert–Kunz multiplicity, inclu...
There is a longstanding conjecture by Fröberg about the Hilbert series of the ring R∕I, where R is a...
In this work, we present "infinite" multiplicative formulae for countable collections of sums of squ...
There is a longstanding conjecture by Fröberg about the Hilbert series of the ring R∕I, where R is a...
AbstractWe introduce a conjectured way of expressing the Hilbert series of diagonal harmonics as a w...
In this paper we collect some results on Hilbert series and a-invariant of two classes of rings defi...
This paper contains a number of practical remarks on Hilbert series that we ex-pect to be useful in ...
This paper contains a number of practical remarks on Hilbert series that we expect to be useful in v...
AbstractWe use the results of our paper p-Fractals and power series—I [P. Monsky, P. Teixeira, p-Fra...
Hilbert functions developed from classical mathematical concepts. In algebraic geometry, the coeffic...
The coordinate rings of the classical determinantal varieties are each isomorphic to a classical inv...
AbstractThe denominator of the Hilbert series of a finitely generated R-module M does not always div...
We introduce the basic concepts of Gröbner basis theory and its relations to polytope theory. This ...
AbstractLet d1,…,dr be positive integers. We show that there are only finitely many Hilbert function...
We consider algebraic varieties defined by the vanishing of all minors of a fixed size of a rectangu...
AbstractWe note certain properties of the Hilbert–Kunz function and Hilbert–Kunz multiplicity, inclu...
There is a longstanding conjecture by Fröberg about the Hilbert series of the ring R∕I, where R is a...
In this work, we present "infinite" multiplicative formulae for countable collections of sums of squ...
There is a longstanding conjecture by Fröberg about the Hilbert series of the ring R∕I, where R is a...
AbstractWe introduce a conjectured way of expressing the Hilbert series of diagonal harmonics as a w...