Results 61 to 70 of about 3,151 (106)
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 +2 more
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
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Analytic moduli spaces of simple sheaves on families of integral curves
, 2013 We prove the existence of fine moduli spaces of simple coherent sheaves on families of irreducible curves. Our proof is based on the existence of a universal upper bound of the Castelnuovo-Mumford regularity of such sheaves, which we provide.Comment ...
Altman +18 more
core +1 more source
Castelnuovo-Mumford regularity of ladder determinantal varieties and patches of Grassmannian Schubert varieties [PDF]
Journal of Algebra, 2022 Jenna Rajchgot +2 more
semanticscholar +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
The regularity and h-polynomial of Cameron-Walker graphs [PDF]
Enumerative Combinatorics and Applications, 2022 Takayuki Hibi +3 more
doaj +1 more source
Non-linear behaviour of Castelnuovo–Mumford regularity
Journal of Algebra, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hoa, Lê Tuân, Morales, Marcel
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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
openaire +3 more sources
Regularity of Edge Ideals and Their Powers
, 2018 We survey recent studies on the Castelnuovo-Mumford regularity of edge ideals of graphs and their powers. Our focus is on bounds and exact values of $\text{ reg } I(G)$ and the asymptotic linear function $\text{ reg } I(G)^q$, for $q \geq 1,$ in terms of
A Alilooee +39 more
core +1 more source