Moduli spaces of sheaves in mixed characteristic
By A. Langer. 2004
62 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/121d558ce8b4d944fa889cbd75235605bb32ae4f
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In Computational Theory and Mathematics
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Citations in the corpus
- Moduli spaces of sheaves and principal G-bundles (2009, background): “The case of moduli spaces of semistable sheaves over a variety defined over an arbitrary field (or a universally Japanese ring such as Z) was settled recently in [38] and [39].”
- Moduli spaces of twisted sheaves on a projective variety (2004, background): “ial h. Mh X/C is a projective scheme. Remark 2.1. The construction also works for a projective bundle Y → Xover any field and also for a family of projective bundles, by the fundamental work of Langer [L]. Lemma 2.2. Let p ′: Y → Xbe a projective bundle with o(w(Y′)) = o(w(Y)) and ΞL Y→Y′ the corresp”
- On Frobenius-destabilized rank-2 vector bundles over curves (2003, background): “denote the moduli space of semistable rank-2 vector bundles of degree 0 over X 1. We denote by Ns X1 and Ms X1 the open subschemes of N X1 and M X1 corresponding to stable vector bundles. Recall (see [La1] Theorem 4.1) that Ns X1 and Ms X1 universally corepresent the functors (see e.g. [HL] Definitio”
- Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups (2013, background): “Acknowledgements: Christopher Deninger has drawn our attention to the work [18], Adrian Langer has helped us understanding [18] and Carlos Simpson has explained us the proof of [33, Proposition 4.”
- Moduli spaces for principal bundles in arbitrary characteristic (2005, background): “ decorated tuples of sheaves A theory of decorated tuples of sheaves has already been considered in [40]. (Again, the assumption on the characteristic of the ground field is now obsolete, by [ 22] and [23].) However, the scope in [40] is very general and makes some restrictions on the stability param”
- Semistable modules over Lie algebroids in positive characteristic (2013, result): “all some definitions and the theorem on e xistence of moduli spaces of modules over sheaves of rings of differential operators. This combines the results of Simpson [Si2] with the results of [La1] and [La2]. Let S be a locally noetherian scheme and let f : X →S be a scheme of finite type over S. A she”