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Duality spectral sequences for Weierstrass fibrations and applications.

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Τίτλος: Duality spectral sequences for Weierstrass fibrations and applications.
Συγγραφείς: Lo, Jason1 jason.lo@csun.edu, Zhang, Ziyu2 zhangzy@math.uni-hannover.de
Πηγή: Journal of Geometry & Physics. Jan2018, Vol. 123, p362-371. 10p.
Θεματικοί όροι: *Spectral sequences (Mathematics), *Duality theory (Mathematics), *Topological degree, *Fourier transforms, *Threefolds (Algebraic geometry)
Περίληψη: We study duality spectral sequences for Weierstraß fibrations. Using these spectral sequences, we show that on a K -trivial Weierstraß threefold over a K -numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier–Mukai transform to a slope stable locally free sheaf. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  – Url: https://www.doi.org/10.1016/j.geomphys.2017.09.016?
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  Data: Duality spectral sequences for Weierstrass fibrations and applications.
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  Data: <searchLink fieldCode="AR" term="%22Lo%2C+Jason%22">Lo, Jason</searchLink><relatesTo>1</relatesTo><i> jason.lo@csun.edu</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Ziyu%22">Zhang, Ziyu</searchLink><relatesTo>2</relatesTo><i> zhangzy@math.uni-hannover.de</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Geometry+%26+Physics%22">Journal of Geometry & Physics</searchLink>. Jan2018, Vol. 123, p362-371. 10p.
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  Data: *<searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Duality+theory+%28Mathematics%29%22">Duality theory (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Topological+degree%22">Topological degree</searchLink><br />*<searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br />*<searchLink fieldCode="DE" term="%22Threefolds+%28Algebraic+geometry%29%22">Threefolds (Algebraic geometry)</searchLink>
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  Data: We study duality spectral sequences for Weierstraß fibrations. Using these spectral sequences, we show that on a K -trivial Weierstraß threefold over a K -numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier–Mukai transform to a slope stable locally free sheaf. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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        Value: 10.1016/j.geomphys.2017.09.016
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 10
        StartPage: 362
    Subjects:
      – SubjectFull: Spectral sequences (Mathematics)
        Type: general
      – SubjectFull: Duality theory (Mathematics)
        Type: general
      – SubjectFull: Topological degree
        Type: general
      – SubjectFull: Fourier transforms
        Type: general
      – SubjectFull: Threefolds (Algebraic geometry)
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      – TitleFull: Duality spectral sequences for Weierstrass fibrations and applications.
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            NameFull: Lo, Jason
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            NameFull: Zhang, Ziyu
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            – D: 01
              M: 01
              Text: Jan2018
              Type: published
              Y: 2018
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              Value: 123
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            – TitleFull: Journal of Geometry & Physics
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