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7 papers · 1 filter
Algebraic hyperbolicity of adjoint linear systems on spherical varieties
Minseong Kwon, Haesong Seo
Moraga and Yeong conjectured that for a smooth complex projective variety of dimension , an ample line bundle on and an integer , very general element…
A Hopf index for isotropic sections of orthogonal bundles
Martijn Kool, Jeongseok Oh, Jørgen Vold Rennemo +1
The Hopf index equates the multiplicity of a zero of a section of a vector bundle with a winding number. We give eight analogues for isotropic sections of bundles with quadratic fo…
Positivity of line bundles on general blow-ups of abelian surfaces
Sanghyeon Lee, Jaesun Shin
Let be a polarized abelian surface, and let be a line bundle on , where $π:{\rm Bl}_{r}(S) \rightarrow S…
Moduli map of second fundamental forms on a nonsingular intersection of two quadrics
Yewon Jeong
In [GH], Griffiths and Harris asked whether a projective complex submanifold of codimension two is determined by the moduli of its second fundamental forms. More precisely, given a…
Redundant blow-ups of rational surfaces with big anticanonical divisor
DongSeon Hwang, Jinhyung Park
We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface w…
Skoda division of line bundle sections and pseudo-division
Dano Kim
We first present a Skoda type division theorem for holomorphic sections of line bundles on a projective variety which is essentially the most general, compared to previous ones. It…