Tate resolutions on toric varieties
MK Brown, D Erman - Journal of the European Mathematical Society, 2024 - ems.press
We develop an analogue of Eisenbud–Fløystad–Schreyer's Tate resolutions for toric
varieties. Our construction, which is given by a noncommutative analogue of a Fourier …
varieties. Our construction, which is given by a noncommutative analogue of a Fourier …
[HTML][HTML] Virtual resolutions of points in P1× P1
M Harada, M Nowroozi, A Van Tuyl - Journal of Pure and Applied Algebra, 2022 - Elsevier
We explore explicit virtual resolutions, as introduced by Berkesch, Erman, and Smith, for
ideals of finite sets of points in P 1× P 1. Specifically, we describe a virtual resolution for a …
ideals of finite sets of points in P 1× P 1. Specifically, we describe a virtual resolution for a …
Characterizing multigraded regularity on products of projective spaces
We explore the relationship between multigraded Castelnuovo-Mumford regularity,
truncations, Betti numbers, and virtual resolutions. We prove that on a product of projective …
truncations, Betti numbers, and virtual resolutions. We prove that on a product of projective …
Polarizations of artin monomial ideals define triangulated balls
G Fløystad, A Mafi - arXiv preprint arXiv:2212.09528, 2022 - arxiv.org
We show that any polarization of an artin monomial ideal defines a triangulated ball. This
proves a conjecture of A. Almousa, H. Lohne and the first author. Geometrically …
proves a conjecture of A. Almousa, H. Lohne and the first author. Geometrically …
Linear syzygies of curves in weighted projective space
MK Brown, D Erman - arXiv preprint arXiv:2301.09150, 2023 - arxiv.org
We develop analogues of Green's $ N_p $-conditions for subvarieties of weighted projective
space, and we prove that such $ N_p $-conditions are satisfied for high degree embeddings …
space, and we prove that such $ N_p $-conditions are satisfied for high degree embeddings …
Bounds on Multigraded Regularity
We explore the asymptotic behavior of the multigraded Castelnuovo--Mumford regularity of
powers of ideals. Specifically, if $ I $ is an ideal in the total coordinate ring $ S $ of a smooth …
powers of ideals. Specifically, if $ I $ is an ideal in the total coordinate ring $ S $ of a smooth …
Rational Normal Curves in Weighted Projective Space
CM Davis, A Sobieska - arXiv preprint arXiv:2410.04586, 2024 - arxiv.org
arXiv:2410.04586v1 [math.AC] 6 Oct 2024 Page 1 arXiv:2410.04586v1 [math.AC] 6 Oct 2024
RATIONAL NORMAL CURVES IN WEIGHTED PROJECTIVE SPACE CAITLIN M. DAVIS AND …
RATIONAL NORMAL CURVES IN WEIGHTED PROJECTIVE SPACE CAITLIN M. DAVIS AND …
On virtual resolutions of points in a product of projective spaces
I Bailly-Hall, C Berkesch, K Dovgodko, S Guan… - arXiv preprint arXiv …, 2024 - arxiv.org
For finite sets of points in $\mathbb {P}^ n\times\mathbb {P}^ m $, we produce short virtual
resolutions, as introduced by Berkesch--Erman--Smith. We first intersect with a sufficiently …
resolutions, as introduced by Berkesch--Erman--Smith. We first intersect with a sufficiently …
Research on the teaching mode of industrial design in local universities in China: from the perspective of professional ability appreciation
H Wang, Q Pan, X Yu - Discover Education, 2023 - Springer
Focusing on local non-“Double First-Class” higher colleges in China, this study aims to
explore the effects of classroom teaching, integration of industry and education, classroom …
explore the effects of classroom teaching, integration of industry and education, classroom …
Virtual resolutions of points in
M Harada, M Nowroozi, A Van Tuyl - arXiv preprint arXiv:2106.02759, 2021 - arxiv.org
We explore explicit virtual resolutions, as introduced by Berkesch, Erman, and Smith, for
ideals of sets of points in $\mathbb {P}^ 1\times\mathbb {P}^ 1$. Specifically, we describe a …
ideals of sets of points in $\mathbb {P}^ 1\times\mathbb {P}^ 1$. Specifically, we describe a …