Results 41 to 50 of about 96 (95)
A Castelnuovo–Mumford regularity bound for scrolls
Journal of Algebra, 2017 10 pages.
Wenbo Niu, Jinhyung Park
openaire +2 more sources
Rational normal curves in weighted projective space
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2816-2837, September 2025.Abstract This article aims to extend classical homological results about the rational normal curves to analogues in weighted projective spaces. Results include determinantality and nonstandard versions of quadratic generation and the Koszul property.
Caitlin M. Davis, Aleksandra Sobieska
wiley +1 more source
Castelnuovo-Mumford regularity of products of ideals
Collectanea Mathematica, 2002 14 ...
CONCA, ALDO, HERZOG J.
openaire +5 more sources
Castelnuovo-Mumford regularity and extended degree [PDF]
Transactions of the American Mathematical Society, 2003 Our main result shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring A A is effectively bounded by the dimension and any extended degree of A A . From this it follows that there are only a finite number of Hilbert-Samuel functions of local rings with given dimension and extended degree.
ROSSI, MARIA EVELINA +2 more
openaire +5 more sources
Rational points on 3‐folds with nef anti‐canonical class over finite fields
Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.Abstract We prove that a geometrically integral smooth projective 3‐fold X$X$ with nef anti‐canonical class and negative Kodaira dimension over a finite field Fq$\mathbb {F}_q$ of characteristic p>5$p>5$ and cardinality q=pe>19$q=p^e > 19$ has a rational point.
Fabio Bernasconi, Stefano Filipazzi
wiley +1 more source
Bounds on Cohomology and Castelnuovo–Mumford Regularity
Journal of Algebra, 1996 The Castelnuovo-Mumford regularity reg(X) of a projective scheme X was introduced by Mumford by generalizing ideas of Castelnuovo. The interest in this concept stems partly from the fact that X is m-regular if and only if for every p \geq 0 the minimal generators of the p-th syzygy module of the defining ideal I of X occur in degree \leq m + p.
Miyazaki, Chikashi, Vogel, Wolfgang
openaire +3 more sources
Singularities of secant varieties from a Hodge theoretic perspective
Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.Abstract We study the singularities of secant varieties of smooth projective varieties using methods from birational geometry when the embedding line bundle is sufficiently positive. More precisely, we study the Du Bois complex of secant varieties and its relationship with the sheaves of differential forms.
Sebastián Olano +2 more
wiley +1 more source
The regularity and h-polynomial of Cameron-Walker graphs [PDF]
Enumerative Combinatorics and Applications, 2022 Takayuki Hibi +3 more
doaj +1 more source
Castelnuovo–Mumford regularity of simplicial toric rings
Journal of Algebra, 2003 Eisenbud and Goto conjectured that the Castelnuovo-Mumford regularity \(\text{reg}(R)\) of a standard graded domain over an algebraically closed field is bounded by the difference \(\text{deg}(R) -\text{codim}(R)\). So far the conjecture has been proved only in a few low-dimensional cases.
Hoa, Lê Tuân, Stückrad, Jürgen
openaire +2 more sources
Castelnuovo–Mumford Regularity of Finite Schemes
International Mathematics Research NoticesAbstract Let $\Gamma \subset \mathbb{P}^{n}$ be a nondegenerate finite subscheme of degree $d$. It is known that the Castelnuovo–Mumford regularity $\textrm{reg} ({\Gamma })$ of $\Gamma $ is at most $\left \lceil \frac{d-n-1}{t(\Gamma )} \right \rceil +2$ where $t(\Gamma )$ is the smallest integer $t$ such that $\Gamma $ admits a $(t+2)$-
Lee, Donghyeop, Park, Euisung
openaire +3 more sources