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Author |
Olivier Penacchio |
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Title |
Mixed Hodge Structures and Equivariant Sheaves on the Projective Plane |
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Journal Article |
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Year |
2011 |
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Mathematische Nachrichten |
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MN |
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284 |
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4 |
Pages |
526-542 |
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Mixed Hodge structures, equivariant sheaves, MSC (2010) Primary: 14C30, Secondary: 14F05, 14M25 |
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Abstract |
We describe an equivalence of categories between the category of mixed Hodge structures and a category of equivariant vector bundles on a toric model of the complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalizes the notion of R-split mixed Hodge structure and give calculations for the first group of cohomology of possibly non smooth or non-complete curves of genus 0 and 1. Finally, we describe some extension groups of mixed Hodge structures in terms of equivariant extensions of coherent sheaves. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim |
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WILEY-VCH Verlag |
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R. Mennicken |
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1522-2616 |
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Admin @ si @ Pen2011 |
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1721 |
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Author |
Maria Vanrell; Jordi Vitria; Xavier Roca |
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Title |
A multidimensional scaling approach to explore the behavior of a texture perception algorithm. |
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Journal Article |
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Year |
1997 |
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Machine Vision and Applications |
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9 |
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262–271 |
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OR;ISE;CIC;MV |
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BCNPCL @ bcnpcl @ VVR1997 |
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35 |
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Author |
Xavier Otazu; M. Ribo; M. Peracaula; J.M. Paredes; J. Nuñez |
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Title |
Detection of superimposed periodic signals using wavelets |
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2002 |
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Monthly Notices of the Royal Astronomical Society, 333, 2: 365–372 (IF: 4.671) |
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CAT @ cat @ ORP2002 |
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272 |
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J. Martinez; Eva Costa; P. Herreros; F. Javier Sanchez; Ramon Baldrich |
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Title |
A Modular and Scalable Architecture for PC-Based Real-Time Vision Systems |
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2003 |
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Real–Time Imaging, 9: 99–112 (IF: 0.512) |
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CAT @ cat @ MCH2003b |
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394 |
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Author |
Daniel Ponsa; Robert Benavente; Felipe Lumbreras; J. Martinez; Xavier Roca |
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Title |
Quality control of safety belts by machine vision inspection for real-time production |
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Journal |
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2003 |
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Optical Engineering, 42:1114–1120 (IF: 0.877) |
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ADAS;ISE;CIC |
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ADAS @ adas @ PRL2003 |
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399 |
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