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Research Article

Quadric surfaces in the Pfaffian hypersurface in ℙ14

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Pages 4675-4694 | Received 14 Aug 2020, Accepted 19 Feb 2021, Published online: 05 Mar 2021

References

  • Agafonov SI, Ferapontov EV. Systems of conservation laws of Temple class, equations of associativity and linear congruences in P4. Manuscrip Math. 2001;106(4):461–488.
  • Bastianelli F, Cortini R, De Poi P. The gonality theorem of Noether for hypersurfaces. J Algebr Geom. 2014;23(2):313–339.
  • Bastianelli F, De Poi P, Ein L, et al. Measures of irrationality for hypersurfaces of large degree. Compos Math. 2017;153(11):2368–2393.
  • Fassarella T. Foliations with degenerate Gauss maps on P4. Ann Inst Fourier. 2010;60(2):455–487.
  • Castelnuovo G. Ricerche di geometria della retta nello spazio a quattro dimensioni. Atti R Ist Veneto Sci. 1891;VII(2):855–901.
  • De Poi P. Congruences of lines with one-dimensional focal locus. Port Math. 2004;61(3):329–338.
  • De Poi P, Mezzetti E. On congruences of linear spaces of order one. Rend Istit Mat Univ Trieste. 2007;39:177–206.
  • Manivel L, Mezzetti E. On linear spaces of skew-symmetric matrices of constant rank. Manuscrip Math. 2005;117(3):319–331.
  • Sierra J, Ugaglia L. On globally generated vector bundles on projective spaces. J Pure Appl Algebr. 2009;213(11):2141–2146.
  • Ballico E, Huh S, Malaspina F. Globally generated vector bundles on a smooth quadric surface. Sci China Math. 2015;58(3):633–652.
  • Grayson D, Stillman M. Macaulay2, a software system for research in algebraic geometry. Available from: http://www.math.uiuc.edu/Macaulay2/
  • De Poi P, Mezzetti E. Linear congruences and hyperbolic systems of conservation laws. In Projective varieties with unexpected properties. Berlin: Walter de Gruyter GmbH & Co. KG; 2005. p. 209–230
  • Ferapontov E, Manivel L. On a class of spaces of skew-symmetric forms related to Hamiltonian systems of conservation laws. 2018. Available from: arXiv:1810.12216.
  • Comaschi G. Stable linear systems of skew-symmetric forms of generic rank ⩽4. 2020. Available from: arXiv:2005.06593.
  • Boralevi A, Faenzi D, Mezzetti E. Linear spaces of matrices of constant rank and instanton bundles. Adv Math. 2013;248:895–920.
  • Fania M, Mezzetti E. Vector spaces of skew-symmetric matrices of constant rank. Linear Algebra Appl. 2011;434:2383–2403.
  • Arrondo E. Subvarieties of Grassmannians. In Lecture Note Series. Vol. 10, Dip. di Matematica Univ. Trento. 1996. http://www.mat.ucm.es/ arrondo/trento.pdf.
  • Boralevi A, Mezzetti E. Planes of matrices of constant rank and globally generated vector bundles. Ann Inst Fourier. 2015;65(5):2069–2089.
  • Boralevi A, Faenzi D, Lella P. Truncated modules and linear presentations of vector bundles. Int Math Res Notices. 2018;17:5347–5377.
  • Weyman J. Cohomology of vector bundles and syzygies. Cambridge University Press; 2003. (Cambridge Tracts in Mathematics; 149).

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