Restriction theorems for μ-(semi)stable framed sheaves

Francesco Sala

doi:10.1016/j.jpaa.2013.03.010

Restriction theorems for μ-(semi)stable framed sheaves

Francesco Sala^*

^*Corresponding author for this work

School of Mathematical & Computer Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a mu-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d >= 2 to a general hypersurface of sufficiently high degree is again mu-semistable. The same holds for mu-stability under some additional assumptions. (C) 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	2320-2344
Number of pages	25
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2013.03.010
Publication status	Published - Dec 2013

Keywords

VECTOR BUNDLES
MODULI
BLOWUP

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10.1016/j.jpaa.2013.03.010

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title = "Restriction theorems for μ-(semi)stable framed sheaves",

abstract = "We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a mu-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d >= 2 to a general hypersurface of sufficiently high degree is again mu-semistable. The same holds for mu-stability under some additional assumptions. (C) 2013 Elsevier B.V. All rights reserved.",

keywords = "VECTOR BUNDLES, MODULI, BLOWUP",

author = "Francesco Sala",

year = "2013",

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AU - Sala, Francesco

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N2 - We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a mu-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d >= 2 to a general hypersurface of sufficiently high degree is again mu-semistable. The same holds for mu-stability under some additional assumptions. (C) 2013 Elsevier B.V. All rights reserved.

AB - We provide a generalization of Mehta-Ramanathan restriction theorems to framed sheaves: we prove that the restriction of a mu-semistable framed sheaf on a nonsingular projective irreducible variety of dimension d >= 2 to a general hypersurface of sufficiently high degree is again mu-semistable. The same holds for mu-stability under some additional assumptions. (C) 2013 Elsevier B.V. All rights reserved.

KW - VECTOR BUNDLES

KW - MODULI

KW - BLOWUP

U2 - 10.1016/j.jpaa.2013.03.010

DO - 10.1016/j.jpaa.2013.03.010

M3 - Article

SN - 0022-4049

VL - 217

SP - 2320

EP - 2344

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 12

ER -

Restriction theorems for μ-(semi)stable framed sheaves

Abstract

Keywords

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