Results 51 to 60 of about 1,062,577 (312)
Heights and multiplicative relations on algebraic varieties [PDF]
Points on a subvariety X of a semi-abelian variety A that are contained in a subgroup, let the subgroup be of finite rank or algebraic, are subject to severe restrictions arithmetical nature. Finiteness results for intersections of X with subgroups of
Habegger, Philipp
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On the group of zero-cycles of holomorphic symplectic varieties [PDF]
For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface.
Alina Marian, Xiaolei Zhao
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Numerical algebraic geometry and algebraic kinematics [PDF]
In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism spaces) are introduced. This provides a common schema for many kinds of problems that are of interest in kinematic studies. Once the problems are cast in this algebraic framework, they can be attacked by tools from algebraic geometry.
Charles W. Wampler, Andrew J. Sommese
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On the rationality problem for low degree hypersurfaces
We 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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Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]
We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces ...
Lothar Göttsche
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Entangled Subspaces through Algebraic Geometry [PDF]
We 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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Double spinor Calabi-Yau varieties [PDF]
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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Derived algebraic geometry [PDF]
This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.
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Phylogenetic algebraic geometry [PDF]
15 pages, 7 ...
Eriksson, Nicholas +3 more
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Quadratic forms and linear algebraic groups [PDF]
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +3 more
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