Abstract
We apply the Lie theoretic formalism of Calaque-Caldararu-Tu, to some extension problems of vector bundles to the first infinitesimal neighbourhood of a subvariety in the complex projective space.
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References
Arinkin, D., Caldararu, A.: When is the self-intersection of a subvariety a fibration? Adv. Math. 231(2), 815–842 (2012)
Badescu, L.: Infinitesimal extensions of rank two vector bundles on submanifolds of small codimension. Bull. Math. Soc. Sci. Math. Roumanie 58(106), 231–243 (2015). No. 3
Calaque, D., Caldararu, A., Tu, J.: From Lie theory to algebraic geometry and back, manuscript
Calaque, D., Caldararu, A., Tu, J.: On the Lie algebroid of a derived self-intersection. Adv. Math. 262(10), 751–783 (2014)
Calaque, D., Caldararu, A., Tu, J.: PBW for an inclusion of Lie algebras. J. Algebra 378(15), 64–79 (2013)
Calaque, D., Van den Bergh, M.: Hochschild cohomology and Atiyah classes. Adv. Math. 224, 1839–1889 (2010)
Roberts, J., Willerton, S.: On the Rozansky-Witten weight systems. Algebr. Geom. Topol. 10(3), 1455–1519 (2010)
Acknowledgements
The first author is grateful to the organisers of the XIIIth International Workshop Lie Theory and Its Applications in Physics, for partial financial support.
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Anghel, C., Buruiana, N., Cheptea, D. (2020). Lie Theory and Infinitesimal Extensions in Algebraic Geometry. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2019. Springer Proceedings in Mathematics & Statistics, vol 335. Springer, Singapore. https://doi.org/10.1007/978-981-15-7775-8_45
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DOI: https://doi.org/10.1007/978-981-15-7775-8_45
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