Zobrazeno 1 - 10
of 3 849
pro vyhledávání: '"Weyman A"'
Working over a field of characteristic zero, we give structure theorems for all grade three licci ideals and their minimal free resolutions. In particular, we completely classify such ideals up to deformation. The descriptions of their resolutions ex
Externí odkaz:
http://arxiv.org/abs/2412.00399
Inspired by the work of Ulrich and Huneke-Ulrich, we describe a pattern to show that the ideals of certain opposite embedded Schubert varieties defined by this pattern arise by taking residual intersections of two geometrically linked opposite Schube
Externí odkaz:
http://arxiv.org/abs/2411.13481
Using the theory of "higher structure maps" from generic rings for free resolutions of length three, we give a classification of grade 3 perfect ideals with small type and deviation in local rings of equicharacteristic zero, extending the Buchsbaum-E
Externí odkaz:
http://arxiv.org/abs/2407.02380
We describe the minimal free resolution of the ideal of $2 \times 2$ subpermanents of a $2 \times n$ generic matrix $M$. In contrast to the case of $2 \times 2$ determinants, the $2 \times 2$ permanents define an ideal which is neither prime nor Cohe
Externí odkaz:
http://arxiv.org/abs/2312.12247
Autor:
Ni, Xianglong, Weyman, Jerzy
We construct two families of free resolutions that resolve the ideals of certain opposite Schubert varieties restricted to the big open cell. We conjecture that these examples have genericity properties translating to structure theorems for perfect i
Externí odkaz:
http://arxiv.org/abs/2304.01381
Publikováno v:
Journal of Algebra (2024) Volume 638, 788-839
We prove that in the polynomial ring $Q=\mathsf{k}[x,y,z,w]$, with $\mathsf{k}$ an algebraically closed field of characteristic zero, all Gorenstein homogeneous ideals $I$ such that $(x,y,z,w)^4\subseteq I \subseteq (x,y,z,w)^2$ can be obtained by \e
Externí odkaz:
http://arxiv.org/abs/2212.05444
Autor:
Silke Laucht, Kaat Brulez, Jörg Hanisch, Alexander Blakey, Gabe Weyman, Jan-Dieter Ludwigs, Tania Alvarez
Publikováno v:
Biodiversity Data Journal, Vol 12, Iss , Pp 1-27 (2024)
In the European Mediterranean Region, palm trees are a common element in cities and semi-urban landscapes and have become important habitat structures for local fauna. This study aimed to monitor the invertebrate and vertebrate fauna occurring on and
Externí odkaz:
https://doaj.org/article/dd94ea600c464188b90f88345e66517a
Let $I$ be a perfect ideal of height 3 in a Gorenstein local ring $R$. Let $\mathbb{F}$ be the minimal free resolution of $I$. A sequence of linear maps, which generalize the multiplicative structure of $\mathbb{F}$, can be defined using the generic
Externí odkaz:
http://arxiv.org/abs/2208.05934
Autor:
Sam, Steven V, Weyman, Jerzy
Publikováno v:
Algebraic Combinatorics 6 (2023) no. 5, 1163-1175
Gessel gave a determinantal expression for certain sums of Schur functions which visually looks like the classical Jacobi-Trudi formula. We explain the commonality of these formulas using a construction of Zelevinsky involving BGG complexes and use t
Externí odkaz:
http://arxiv.org/abs/2206.07728
We discuss various applications of a uniform vanishing result for the graded components of the finite length Koszul module associated to a subspace in the second wedge product of a vector space. Previously Koszul modules of finite length have been us
Externí odkaz:
http://arxiv.org/abs/2201.00839