On the Bounded Negativity Conjecture and Singular Plane Curves
نویسندگان
چکیده
There are no known failures of Bounded Negativity in characteristic 0. In the light recent work showing Conjecture fails positive characteristics for rational surfaces, we propose new free conjectures as a replacement. We also develop bounds on numerical curves constraining their negativity. For example, show that $H$-constant curve $C$ with at most $9$ singular points satisfies $H(C)>-2$ regardless characteristic.
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2022
ISSN: ['1609-4514', '1609-3321']
DOI: https://doi.org/10.17323/1609-4514-2022-22-3-427-450