Results 31 to 40 of about 96 (95)

Stable Sheaves on a Smooth Quadric Surface with Linear Hilbert Bipolynomials

The Scientific World Journal, Volume 2014, Issue 1, 2014., 2014
We investigate the moduli spaces of stable sheaves on a smooth quadric surface with linear Hilbert bipolynomial in some special cases and describe their geometry in terms of the locally free resolution of the sheaves.
Edoardo Ballico, Sukmoon Huh, J. Aledo, B. Nagy   +3 more
wiley   +1 more source

Solving Degree Bounds for Iterated Polynomial Systems

IACR Transactions on Symmetric Cryptology
For Arithmetization-Oriented ciphers and hash functions Gröbner basis attacks are generally considered as the most competitive attack vector. Unfortunately, the complexity of Gröbner basis algorithms is only understood for special cases, and it is ...
Matthias Johann Steiner
doaj   +1 more source

Regularity of quasi-symbolic and bracket powers of Borel type ideals [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
In this paper, we show that the regularity of the q-th quasi-symbolic power I^{((q))} and the regularity of the q-th bracket power I^{[q]} of a monomial ideal of Borel type I, satisfy the relations reg(I^{((q))})\le  q reg(I), respectively reg(I^{[q ...
Mircea Cimpoeas
doaj  

Non-commutative Castelnuovo–Mumford regularity and AS-regular algebras

Journal of Algebra, 2009
Let $A$ be a connected graded $k$-algebra with a balanced dualizing complex. We prove that $A$ is a Koszul AS-regular algebra if and only if that the Castelnuovo-Mumford regularity and the Ext-regularity coincide for all finitely generated $A$-modules. This can be viewed as a non-commutative version of \cite[Theorem 1.3]{ro}.
Dong, Z.-C., Wu, Q.-S.
openaire   +3 more sources

Explicit constructions of short virtual resolutions of truncations

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4000-4014, December 2025.
Abstract We propose a concept of truncation for arbitrary smooth projective toric varieties and construct explicit cellular resolutions for nef truncations of their total coordinate rings. We show that these resolutions agree with the short resolutions of Hanlon, Hicks, and Lazarev, which were motivated by symplectic geometry, and we use our definition
Lauren Cranton Heller
wiley   +1 more source

Weighted Castelnuovo–Mumford regularity and weighted global generation [PDF]

Journal of Algebra and Its Applications, 2019
We introduce and study a notion of Castelnuovo–Mumford regularity suitable for weighted projective spaces.
Malaspina, F., Sankaran, G. K.
openaire   +4 more sources

Polarization and Gorenstein liaison

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi, Patricia Klein, Jenna Rajchgot, Alexandra Seceleanu   +3 more
wiley   +1 more source

Castelnuovo–Mumford regularity bounds for singular surfaces [PDF]

Mathematische Zeitschrift, 2015
We prove the regularity conjecture, namely Eisenbud-Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we bound the regularity for a dimension zero scheme by its Loewy length and for a curve allowing embedded or isolated point components by its arithmetic degree.
openaire   +2 more sources

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

The weak Lefschetz property for artinian Gorenstein algebras

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3211-3222, October 2025.
Abstract It is an extremely elusive problem to determine which standard artinian graded K$K$‐algebras satisfy the weak Lefschetz property (WLP). Codimension 2 artinian Gorenstein graded K$K$‐algebras have the WLP and it is open to what extent such result might work for codimension 3 artinian Gorenstein graded K$K$‐algebras.
Rosa M. Miró‐Roig
wiley   +1 more source