Universal degeneracy classes for vector bundles on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> bundles
نویسندگان
چکیده
Given a vector bundle on P1 bundle, the base is stratified by degeneracy loci measuring splitting type of restricted to each fiber. The classes these in Chow ring or cohomology are natural invariants characterizing degenerations bundle. When occur expected codimension, we find their classes. This yields universal formulas for terms naturally arising bundles base. existence applied prove non-emptiness Brill-Noether [21]. Our results hold over arbitrary fields any characteristic.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2021.107563