Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Mustopa, Yusuf"'
We study effective global generation properties of projectivizations of curve semistable vector bundles over curves and abelian varieties.
Comment: 15 pages, comments welcome!
Comment: 15 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2405.11099
We contemplate the range of convex Fujita numbers for minimal smooth projective surfaces according to their position in the Kodaira-Enriques classification.
Comment: 27 pages, comments welcome!
Comment: 27 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2310.16987
We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a smooth projective variety and compute its value for a class of varieties
Externí odkaz:
http://arxiv.org/abs/2301.06367
We completely describe the components of expected dimension of the Hilbert Scheme of rational curves of fixed degree $k$ in the moduli space ${\rm SU}_{C}(r,L)$ of semistable vector bundles of rank $r$ and determinant $L$ on a curve $C$. We show that
Externí odkaz:
http://arxiv.org/abs/2007.10511
Autor:
Küronya, Alex, Mustopa, Yusuf
We prove a Fujita-type theorem for varieties with numerically trivial canonical bundle using properties of semihomogeneous bundles on abelian varieties. We combine our results with work of Riess on compact hyperk\"{a}hler manifolds and work of Mukai,
Externí odkaz:
http://arxiv.org/abs/1810.07079
Autor:
Küronya, Alex, Mustopa, Yusuf
We show that if $X$ is an abelian variety of dimension $g \geq 1$ and ${\mathcal E}$ is an M-regular coherent sheaf on $X$, the Castelnuovo-Mumford regularity of ${\mathcal E}$ with respect to an ample and globally generated line bundle ${\mathcal O}
Externí odkaz:
http://arxiv.org/abs/1703.07237
Publikováno v:
Advances in Geometry; Oct2024, Vol. 24 Issue 4, p577-590, 14p
Autor:
Mustopa, Yusuf
Inspired by Beauville's recent construction of Ulrich sheaves on abelian surfaces, we pose the question of whether a torsion-free sheaf on a polarized smooth projective variety with Castelnuovo-Mumford regularity 1 is a GV (generic vanishing) sheaf,
Externí odkaz:
http://arxiv.org/abs/1607.06550
Autor:
Ciliberto, Ciro, Knutsen, Andreas Leopold, Lesieutre, John, Lozovanu, Victor, Miranda, Rick, Mustopa, Yusuf, Testa, Damiano
In this note we address the following kind of question: let X be a smooth, irreducible, projective surface and D a divisor on X$satisfying some sort of positivity hypothesis, then is there some multiple of D depending only on X which is effective or
Externí odkaz:
http://arxiv.org/abs/1511.06618
An Ulrich sheaf on an n-dimensional projective variety X, embedded in a projective space, is a normalized ACM sheaf which has the maximum possible number of global sections. Using a construction based on the representation theory of Roby-Clifford alg
Externí odkaz:
http://arxiv.org/abs/1507.08388