Results 41 to 50 of about 310,925 (271)

Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces [PDF]

Épijournal de Géométrie Algébrique, 2020
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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On the rationality problem for low degree hypersurfaces

Forum of Mathematics, Pi
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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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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Entangled Subspaces through Algebraic Geometry [PDF]

Quantum
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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Algebraic Integral Geometry [PDF]

, 2014
61 pages, newly revised in June 2012.
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Frobenius techniques in birational geometry

, 2016
This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry.
Patakfalvi, Zsolt
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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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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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Erasure List-Decodable Codes from Random and Algebraic Geometry Codes

, 2014
Erasure list decoding was introduced to correct a larger number of erasures with output of a list of possible candidates. In the present paper, we consider both random linear codes and algebraic geometry codes for list decoding erasure errors.
Ding, Yang, Jin, Lingfei, Xing, Chaoping
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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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