Castelnuovo–mumford regularity

Results 21 to 30 of about 367 (93)

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

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, Debaditya Raychaudhury, Lei Song +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

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, Nicholas Clarke, Luigi Ferraro +2 more
doaj

Cohen-Macaulay residual intersections and their Castelnuovo-Mumford\n Regularity [PDF]