Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897535 | Journal of Pure and Applied Algebra | 2018 | 14 Pages |
Abstract
Let X be a quasi-compact, separated scheme over a field k and we can consider the categorical resolution of singularities of X. In this paper let kâ²/k be a field extension and we study the scalar extension of a categorical resolution of singularities of X and we show how it gives a categorical resolution of the base change scheme Xkâ². Our construction involves the scalar extension of derived categories of DG-modules over a DG algebra. As an application we use the technique of scalar extension developed in this paper to prove the non-existence of full exceptional collections of categorical resolutions for a projective curve of genus â¥1 over a non-algebraically closed field.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhaoting Wei,