On the Picard group of the stable A1-homotopy category
By P. Hu. 2005
54 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ddfdeecfb3f35524c7b1579e306c1c87c199d3d1
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- A quadratic refinement of the Grothendieck-Lefschetz-Verdier trace formula (2013, background): “In [Hu05, Appendix A] and [Rio05, §2] it was proved that smooth and projective B-schemes become strongly dualizable in SH(B).”
- Smooth varieties up to A^1-homotopy and algebraic h-cobordisms (2008, background): “…have tangent bundles, which in some situations are classified by maps to an infinite Grassmannian ([Mor07]), and the statement of A1-Atiyah duality for smooth projective schemes (see [Hu05, Theorem A.1] or [Rio05, Théorème 2.2]) tells us how to define the notion of an A1-Poincaré complex.”
- Aspects of Enumerative Geometry with Quadratic Forms (2017, background): “erting the characteristic whenever working in the non-perfect case. 1.1. Duality for smooth projective varieties. We begin by recalling the construction of Σ∞ TX ∨ + by Hoyois, Hu, Riou and Voevodsky [18, 19, 30, 37]; our discussion follows [37, §2]. We first take the case X = Pd k, which we denote b”