Topic
Regular scheme
About: Regular scheme is a research topic. Over the lifetime, 40 publications have been published within this topic receiving 564 citations.
Papers
TL;DR: In this article, a complete classification of the localizing subcategories of the stable derived category of any affine scheme that has hypersurface singularities or is a complete intersection in a regular scheme is given.
Abstract: We obtain, via the formalism of tensor actions, a complete classification of the localizing subcategories of the stable derived category of any affine scheme that has hypersurface singularities or is a complete intersection in a regular scheme; in particular, this classifies the thick subcategories of the singularity categories of such rings. The analogous result is also proved for certain locally complete intersection schemes. It is also shown that from each of these classifications one can deduce the (relative) telescope conjecture.
89 citations
TL;DR: In this article, a p-divisible group over a regular scheme S such that the Newton polygon in each geometric point of S is the same as the point in X.
Abstract: Let X be a p-divisible group over a regular scheme S such that the Newton polygon in each geometric point of S is the same. Then there is a p-divisible group isogenous to X which has a slope filtration.
58 citations
TL;DR: In this article, the authors generalize the result of de Jong and Oort to the log regular case and show that any morphism (satisfying certain conditions) from the complement of a divisor with normal crossings in a regular scheme to a moduli stack of stable curves extends over the entire regular scheme.
Abstract: In this paper, we generalize to the “log regular case” a result of de Jong and Oort which states that any morphism (satisfying certain conditions) from the complement of a divisor with normal crossings in a regular scheme to a moduli stack of stable curves extends over the entire regular scheme. The proof uses the theory of “regular log schemes ” – i.e., schemes with singularities like those of toric varieties – due to K. Kato ([9]). We then use this extension theorem to prove that (under certain natural conditions) any scheme which is a successive fibration of smooth hyperbolic curves may be compactified to a successive fibration of stable curves. 1991 Mathematics Subject Classification: Primary subject: 14H10; Secondary Subject: 14E15.
56 citations
TL;DR: For a connected regular scheme X, flat and of finite type over Spec(Z), the authors constructed a reciprocity homomorphism rX : CX! p ab (X), which is surjective and whose kernel is the connected compo- nent of the identity.
36 citations
Posted Content•
TL;DR: A modified compute-and-forward scheme which utilizes Channel State Information at the Transmitters (CSIT) in a natural way is presented which allows different users to have different coding rates, and use CSIT to achieve larger rate region.
Abstract: We present a modified compute-and-forward scheme which utilizes Channel State Information at the Transmitters (CSIT) in a natural way. The modified scheme allows different users to have different coding rates, and use CSIT to achieve larger rate region. This idea is applicable to all systems which use the compute-and-forward technique and can be arbitrarily better than the regular scheme in some settings.
32 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2020 | 2 |
| 2018 | 1 |
| 2017 | 3 |
| 2016 | 1 |
| 2015 | 2 |