Abstract
AbstractWe study the motivic and$$\ell $$ℓ-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 D. Orlov and J. Burke–M. Walker to give a formula for the$$\ell $$ℓ-adic realization of the dg category of singularities of the zero locus of a global section of a vector bundle. In particular, we obtain a formula for the$$\ell $$ℓ-adic realization of the dg category of singularities of the special fiber of a scheme over a regular local ring of dimensionn.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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