Given a quasi-compact and quasi-separated (qcqs) scheme X of finite type over a Noetherian ring R having an ample family of line bundles, we construct a closed embedding of X into a smooth (qcqs) scheme over R having an ample family of line bundles. Such a smooth scheme arises as an open subscheme of the multihomogeneous Proj of a Zn-graded ring.
Zanchetta F. (2020). Embedding divisorial schemes into smooth ones. JOURNAL OF ALGEBRA, 552, 86-106 [10.1016/j.jalgebra.2020.02.006].
Embedding divisorial schemes into smooth ones
Zanchetta F.
2020
Abstract
Given a quasi-compact and quasi-separated (qcqs) scheme X of finite type over a Noetherian ring R having an ample family of line bundles, we construct a closed embedding of X into a smooth (qcqs) scheme over R having an ample family of line bundles. Such a smooth scheme arises as an open subscheme of the multihomogeneous Proj of a Zn-graded ring.File in questo prodotto:
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