Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Rajchgot, Jenna"'
We unify problems about the equivariant geometry of symmetric quiver representation varieties, in the finite type setting, with the corresponding problems for symmetric varieties $GL(n)/K$ where $K$ is an orthogonal or symplectic group. In particular
Externí odkaz:
http://arxiv.org/abs/2410.06929
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen-Macaulay subscheme of $\mathbb{P}^n$ can be G-linked to a complete intersection. Migliore and Nagel showed that, if such a scheme is generically Go
Externí odkaz:
http://arxiv.org/abs/2406.19985
We study three invariants of geometrically vertex decomposable ideals: the Castelnuovo-Mumford regularity, the multiplicity, and the $a$-invariant. We show that these invariants can be computed recursively using the ideals that appear in the geometri
Externí odkaz:
http://arxiv.org/abs/2311.08541
Publikováno v:
J. Pure Appl. Algebra 228(7), 2024
A regular nilpotent Hessenberg Schubert cell is the intersection of a regular nilpotent Hessenberg variety with a Schubert cell. In this paper, we describe a set of minimal generators of the defining ideal of a regular nilpotent Hessenberg Schubert c
Externí odkaz:
http://arxiv.org/abs/2305.19335
Autor:
Atar, Büşra, Bhaskara, Kieran, Cook, Adrian, Da Silva, Sergio, Harada, Megumi, Rajchgot, Jenna, Van Tuyl, Adam, Wang, Runyue, Yang, Jay
We study the Hadamard product of two varieties $V$ and $W$, with particular attention to the situation when one or both of $V$ and $W$ is a binomial variety. The main result of this paper shows that when $V$ and $W$ are both binomial varieties, and t
Externí odkaz:
http://arxiv.org/abs/2211.14210
Nagel and R\"omer introduced the class of weakly vertex decomposable simplicial complexes, which include matroid, shifted, and Gorenstein complexes as well as vertex decomposable complexes. They proved that the Stanley-Reisner ideal of every weakly v
Externí odkaz:
http://arxiv.org/abs/2209.00119
Publikováno v:
Algebraic Combinatorics, Vol. 6 (2023), No. 4, p. 965-997
The geometric vertex decomposability property for polynomial ideals is an ideal-theoretic generalization of the vertex decomposability property for simplicial complexes. Indeed, a homogeneous geometrically vertex decomposable ideal is radical and Coh
Externí odkaz:
http://arxiv.org/abs/2207.06391
We give degree formulas for Grothendieck polynomials indexed by vexillary permutations and $1432$-avoiding permutations via tableau combinatorics. These formulas generalize a formula for degrees of symmetric Grothendieck polynomials which appeared in
Externí odkaz:
http://arxiv.org/abs/2202.03995
Autor:
Gandini, Francesca, Hering, Milena, Maclagan, Diane, Mohammadi, Fatemeh, Rajchgot, Jenna, Wheeler, Ashley K., Yu, Josephine
We generalize the toric Bertini theorem of Fuchs, Mantova, and Zannier to positive characteristic. A key part of the proof is a new algebraically closed field containing the field \kk(t_1,\dots,t_d) of rational functions over an algebraically closed
Externí odkaz:
http://arxiv.org/abs/2111.13214
Publikováno v:
In Journal of Pure and Applied Algebra July 2024 228(7)
