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Convex Fujita numbers: projective bundles
Jiaming Chen, Alex Küronya, Yusuf Mustopa +1
We study effective global generation properties of projectivizations of curve semistable vector bundles over curves and abelian varieties.
Convex Fujita numbers and the Kodaira-Enriques classification of surfaces
Jiaming Chen, Alex Küronya, Yusuf Mustopa +1
We contemplate the range of convex Fujita numbers for minimal smooth projective surfaces according to their position in the Kodaira-Enriques classification.
Rational Curves on Moduli Spaces of Vector Bundles
Yusuf Mustopa, Montserrat Teixidor i Bigas
We completely describe the components of expected dimension of the Hilbert Scheme of rational curves of fixed degree in the moduli space of semistable vecto…
Stability of syzygy bundles on an algebraic surface
Lawrence Ein, Robert Lazarsfeld, Yusuf Mustopa
Given a very ample line bundle L on a projective variety X, the syzygy bundle M_L associated to L is the kernel of the evaluation map on sections of L. Our main result is that if X…
Pfaffian quartic surfaces and representations of Clifford algebras
Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa
Given a nondegenerate ternary form of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's…
Representations of Clifford algebras of ternary quartic forms
Emre Coskun, Rajesh S. Kulkarni, Yusuf Mustopa
Given a nondegenerate ternary form of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces to construct a certa…