Results 51 to 60 of about 1,944,105 (329)
Entangled Subspaces through Algebraic Geometry [PDF]
QuantumWe propose an algebraic geometry-inspired approach for constructing entangled subspaces within the Hilbert space of a multipartite quantum system.
Masoud Gharahi, Stefano Mancini
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Software Engineering and Complexity in Effective Algebraic Geometry [PDF]
, 2012 We introduce the notion of a robust parameterized arithmetic circuit for the evaluation of algebraic families of multivariate polynomials. Based on this notion, we present a computation model, adapted to Scientific Computing, which captures all known ...
Heintz, Joos +2 more
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Algebraic Integral Geometry [PDF]
, 2011 A survey on recent developments in (algebraic) integral geometry is given. The main focus lies on algebraic structures on the space of translation invariant valuations and applications in integral geometry.
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On the rationality problem for low degree hypersurfaces
Forum of Mathematics, PiWe show that a very general hypersurface of degree $d \geq 4$ and dimension $N \leq (d+1)2^{d-4}$ over a field of characteristic $\neq 2$ does not admit a decomposition of the diagonal; hence, it is neither stably nor retract ...
Jan Lange, Stefan Schreieder
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Algebraic Integral Geometry [PDF]
, 2014 61 pages, newly revised in June 2012.
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Double spinor Calabi-Yau varieties [PDF]
Épijournal de Géométrie Algébrique, 2019 Consider the ten-dimensional spinor variety in the projectivization of a half-spin representation of dimension sixteen. The intersection X of two general translates of this variety is a smooth Calabi-Yau fivefold, as well as the intersection Y of their ...
Laurent Manivel
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Integration-by-parts reductions from unitarity cuts and algebraic geometry [PDF]
, 2015 We show that the integration-by-parts reductions of various two-loop integral topologies can be efficiently obtained by applying unitarity cuts to a specific set of subgraphs and solving associated polynomial (syzygy) equations.
K. J. Larsen, Yang Zhang
semanticscholar +1 more source
Chern classes of automorphic vector bundles, II [PDF]
Épijournal de Géométrie Algébrique, 2019 We prove that the $\ell$-adic Chern classes of canonical extensions of automorphic vector bundles, over toroidal compactifications of Shimura varieties of Hodge type over $\bar{ \mathbb{Q}}_p$, descend to classes in the $\ell$-adic cohomology of the ...
Hélène Esnault, Michael Harris
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Noncommutative geometry of algebraic curves
, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
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Algebraic geometry over Lie algebras [PDF]
, 2007 This is a survey paper on Alegbraic Geometry over Lie ...
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