Decomposability criterion for linear sheaves

• Autorzy: Marcos Jardim , Vitor Silva
• Języki publikacji: EN

Abstrakty

EN

We establish a decomposability criterion for linear sheaves on ℙn. Applying it to instanton bundles, we show, in particular, that every rank 2n instanton bundle of charge 1 on ℙn is decomposable. Moreover, we provide an example of an indecomposable instanton bundle of rank 2n − 1 and charge 1, thus showing that our criterion is sharp.

Słowa kluczowe

EN

Linear sheaves; Instanton bundles; Representations of quivers

Kategorie tematyczne

• 14D21: Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 4
• Strony: 1292-1299

Daty

wydano

2012-08-01

online

2012-05-31

Twórcy

autor

Marcos Jardim

• IMECC — UNICAMP

autor

Vitor Silva

• IMECC — UNICAMP

Bibliografia

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• [2] Horrocks G., Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc., 1964, 14, 689–713 http://dx.doi.org/10.1112/plms/s3-14.4.689
• [3] Jardim M., Instanton sheaves on complex projective spaces, Collect. Math., 2006, 57(1), 69–91
• [4] Jardim M., Miró-Roig R.M., On the semistability of instanton sheaves over certain projective varieties, Comm. Algebra, 2008, 36(1), 288–298 http://dx.doi.org/10.1080/00927870701665503
• [5] Kac V.G., Infinite root systems, representations of graphs and invariant theory, Invent. Math., 1980, 56(1), 57–92 http://dx.doi.org/10.1007/BF01403155
• [6] Okonek Chr., Schneider M., Spindler H., Vector Bundles on Complex Projective Spaces, Progr. Math., 3, Birkhäuser, Boston, 1980 http://dx.doi.org/10.1007/978-3-0348-0151-5

Identyfikatory

DOI

10.2478/s11533-012-0074-y