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math.AG2026
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…
math.AG2026
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…