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2012 | 10 | 4 | 1198-1231

Tytuł artykułu

Instanton bundles on Fano threefolds

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EN

Abstrakty

EN
We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

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Czasopismo

Rocznik

Tom

10

Numer

4

Strony

1198-1231

Opis fizyczny

Daty

wydano
2012-08-01
online
2012-05-31

Bibliografia

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  • [2] Bernardara M., Macrì E., Mehrotra S., Stellari P., A categorical invariant for cubic threefolds, Adv. Math., 2012, 229(2), 770–803 http://dx.doi.org/10.1016/j.aim.2011.10.007
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  • [5] Bondal A., Orlov D., Semiorthogonal decomposition for algebraic varieties, preprint available at http://arxiv.org/abs/alg-geom/9506012
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  • [7] Faenzi D., Even and odd instanton bundles on Fano threefolds of Picard number one, preprint available at http://arxiv.org/abs/1109.3858
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  • [15] Kuznetsov A.G., Derived categories of Fano threefolds, Proc. Steklov Inst. Math, 2009, 264(1), 110–122 http://dx.doi.org/10.1134/S0081543809010143
  • [16] Markushevich D., Tikhomirov A., The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold, J. Algebraic Geom., 2001, 10(1), 37–62
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  • [18] Okonek C., Schneider M., Spindler H., Vector Bundles on Complex Projective Spaces, Progr. Math., 3, Birkhaüser, Boston, 1980 http://dx.doi.org/10.1007/978-3-0348-0151-5
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