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 …
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 …
Linear strands of multigraded free resolutions
MK Brown, D Erman - Mathematische Annalen, 2024 - Springer
Linear strands of multigraded free resolutions | Mathematische Annalen Skip to main content
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
SpringerLink Account Menu Find a journal Publish with us Track your research Search Cart …
Positivity and nonstandard graded Betti numbers
MK Brown, D Erman - Bulletin of the London Mathematical …, 2024 - Wiley Online Library
A foundational principle in the study of modules over standard graded polynomial rings is
that geometric positivity conditions imply vanishing of Betti numbers. The main goal of this …
that geometric positivity conditions imply vanishing of Betti numbers. The main goal of this …
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 …
A short proof of the Hanlon-Hicks-Lazarev Theorem
MK Brown, D Erman - Forum of Mathematics, Sigma, 2024 - cambridge.org
A short proof of the Hanlon-Hicks-Lazarev Theorem Page 1 Forum of Mathematics, Sigma (2024),
Vol. 12:e56 1–6 doi:10.1017/fms.2024.40 RESEARCH ARTICLE A short proof of the Hanlon-Hicks-Lazarev …
Vol. 12:e56 1–6 doi:10.1017/fms.2024.40 RESEARCH ARTICLE A short proof of the Hanlon-Hicks-Lazarev …
Linear truncations package for Macaulay2
L Cranton Heller, N Nemati - Journal of Software for Algebra and Geometry, 2023 - msp.org
Linear truncations package for Macaulay2 Page 1 Journal of Software for Algebra and
Geometry Linear truncations package for Macaulay2 LAUREN CRANTON HELLER AND …
Geometry Linear truncations package for Macaulay2 LAUREN CRANTON HELLER AND …
Singularities, Secants, and Syzygies
G Taylor - 2023 - search.proquest.com
In this thesis, we explore three aspects of singularities and syzygies in algebraic geometry.
First, we study singularities in positive characteristic. In particular, we prove an inversion of …
First, we study singularities in positive characteristic. In particular, we prove an inversion of …
[图书][B] Structures of Free and Virtual Resolutions
C Booms - 2023 - search.proquest.com
Free and virtual resolutions of modules are fundamental tools in commutative algebra that
are used to study geometric objects in projective and toric varieties. We analyze the structure …
are used to study geometric objects in projective and toric varieties. We analyze the structure …
Multigraded Regularity and Betti Numbers on Smooth Projective Toric Varieties
L Cranton Heller - 2023 - escholarship.org
The Castelnuovo–Mumford regularity of a sheaf on projective space is an integer that
describes the vanishing of higher cohomology of twists of the sheaf. Regularity can be …
describes the vanishing of higher cohomology of twists of the sheaf. Regularity can be …