Results 51 to 60 of about 136,089 (106)
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
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
Castelnuovo-Mumford regularity and finiteness of Hilbert functions [PDF]
, 2005 The notion of regularity has been used by S. Kleiman in the construction of bounded families of ideals or sheaves with given Hilbert polynomial, a crucial point in the construction of Hilbert or Picard scheme. In a related direction, Kleiman proved that if I is an equidimensional reduced ideal in a polynomial ring S over an algebraically closed field ...
ROSSI, MARIA EVELINA +2 more
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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
Characteristic-free bounds for the Castelnuovo–Mumford regularity [PDF]
Compositio Mathematica, 2005 12 ...
SBARRA, ENRICO, CAVIGLIA GIULIO
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Non-linear behaviour of Castelnuovo–Mumford regularity [PDF]
, 2012 It is shown that the Castelnuovo–Mumford regularity of lex-segment ideals of ordinary powers as well as of Frobenius powers of a homogeneous polynomial ideal is a function of polynomial type of huge ...
Morales, Marcel, Hoa, Lê Tuân
core +1 more source
A note on Castelnuovo–Mumford regularity and Hilbert coefficients [PDF]
Journal of Algebra and Its Applications, 2019 New upper and lower bounds on the Castelnuovo–Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense nearly sharp.
Dung, Le Xuan, Hoa, Le Tuan
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Minimal Castelnuovo-Mumford regularity for a given Hilbert polynomial [PDF]
, 2015 Let $K$ be an algebraically closed field of null characteristic and $p(z)$ a Hilbert polynomial. We look for the minimal Castelnuovo-Mumford regularity $\minReg{p(z)}$ of closed subschemes of projective spaces over $K$ with Hilbert polynomial $p(z ...
P. Lella +7 more
core +1 more source
Regularity of Tor for weakly stable ideals
Le Matematiche, 2015 It is proved that if I and J are weakly stable ideals in a polynomial ring R = k[x_1, . . ., x_n], with k a field, then the regularity of Tor^R_i (R/I, R/J) has the expected upper bound. We also give a bound for the regularity of Ext^i_R (R/I, R) for I a
Katie Ansaldi +2 more
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