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Motivic and $$\ell $$-adic realizations of the category of singularities of the zero locus of a global section of a vector bundle
Abstract We study the motivic and $$\ell $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ℓ</mml:mi></mml:math> -adic realizations of the dg category of singularities of the zero locus of a global section of a line bundle over a regular scheme. We will then use the formula obtained in this way together with a theorem due to …