Date of Award
2019
Degree Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Graduate Group
Mathematics
First Advisor
Tony Pantev
Abstract
We study the problem of compatibility of derived structures on a scheme which can be presented as a critical locus in more than one way. We consider the situation when a scheme can be presented as the critical locus of a function wโ๐(S) and as the critical locus of the restriction w|โโ๐(X) for some smooth subscheme XโS. In the case when S is the total space of a vector bundle over X, we prove that, under natural assumptions, the two derived structures coincide. We generalize the result to the case when X is a quantized cycle in S and also give indications how to proceed when XโS is a general closed embedding.
Recommended Citation
Mrcela, Antonijo, "On The Compatibility Of Derived Structures On Critical Loci" (2019). Publicly Accessible Penn Dissertations. 3441.
https://repository.upenn.edu/edissertations/3441