Which series are Hilbert series of graded modules over standard multigraded polynomial rings?
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800436
Abstract: Consider a polynomial ring R with the Zn‐grading where the degree of each variable is a standard basis vector. In other words, R is the homogeneous coordinate ring of a product of n projective spaces.… read more here.
Keywords: hilbert series; finitely generated; series finitely; series hilbert ... See more keywords
Quiver theories and Hilbert series of classical Slodowy intersections
Sign Up to like & getrecommendations! Published in 2020 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2020.114939
Abstract: Abstract We build on previous studies of the Higgs and Coulomb branches of SUSY quiver theories having 8 supercharges, including 3 d N = 4 , and Classical gauge groups. The vacuum moduli spaces of… read more here.
Keywords: branch constructions; theories hilbert; slodowy intersections; quiver theories ... See more keywords
Hilbert Series of Generic Ideals in Products of Projective Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Experimental Mathematics"
DOI: 10.1080/10586458.2021.1925999
Abstract: Abstract If , k a field, is a standard graded algebra, then the Hilbert series of R is the formal power series . It is known already since Macaulay which power series are Hilbert series… read more here.
Keywords: series; products projective; hilbert series; generic ideals ... See more keywords
Some Recurrence Relations and Hilbert Series of Right-Angled Affine Artin Monoid M(D~n∞)
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Function Spaces"
DOI: 10.1155/2018/1901657
Abstract: We find the Hilbert series of the right-angled affine Artin monoid M(D~n∞). We also discuss its recurrence relation and the growth rate. read more here.
Keywords: hilbert series; mrow mml; mml; mml mml ... See more keywords