Roya Beheshti's Research

    Roya Beheshti


    Publications

  • • On the asymptotic enumerativity property for virtual Tevelev degrees of Fano manifolds
        (with B. Lehmann, C. Lian, E. Riedl, J. Starr, S. Tanimoto), preprint

  • • The minimal projective bundle dimension and toric 2-Fano manifolds, submitted for publication
        (with C. Araujo, A-M Castravet, K. Jabbusch, S. Makarova, E. Mazzon, N. Viswanathan)

  • • Bounds on the Picard rank of toric Fano varieties with minimal curve constraints (with B. Wormleighton)
        Proc. Amer. Math. Soc. 151 (2023), 1503--1518

  • • Rational curves on del Pezzo surfaces in positive characteristic (with B. Lehmann, E. Riedl, S. Tanimoto)
        Transactions of the AMS, Series B, 10, 407--451 (2023)

  • • Restrictions on rational surfaces lying in very general hypersurfaces (with E. Riedl)
        Forum Math. Sigma 10 (2022), Paper No. e71, 11 pp. 14

  • • Higher Fano manifolds (with C. Araujo, A-M Castravet, K. Jabbusch, S. Makarova, E. Mazzon, L. Taylor, N. Viswanathan)
        Rev. Un. Mat. Argentina 64 (2022), no. 1, 103--125

  • • Moduli spaces of rational curves on Fano threefolds (with B. Lehmann, E. Riedl, S. Tanimoto)
        Advances in Math. 408 (2022), Paper No. 108557, 60 pp

  • • Linear subspaces of hypersurfaces (with E. Riedl)
        Duke Math. Journal, 170 (10), 2263--2288 (2021)

  • • Positivity results for spaces of rational curves (with E. Riedl)
        Algebra and Number Theory, Vol. 14 (2020), No. 2, 485--500

  • • Moduli spaces of rational curves on hypersurfaces of index 2
        preprint

  • • Hypersurfaces with too many rational curves
        Mathematische Annalen, 360 (2014), Issue 3-4, 753-768

  • • Rational curves in hypersurfaces (with Mohan Kumar)
        Journal of Ramanujan Mathematical Society , 28a (2013) 1--20

  • • Spaces of rational curves on complete intersections (with Mohan Kumar)
        Compositio Math., 149 (2013) 1041--1060.

  • • Fibers of projections and submodules of deformations (with D. Eisenbud)
       Current Developments in Algebraic Geometry, MSRI Publications, 2010.

  • • Linear projections of smooth varieties (with D. Eisenbud)
       Oberwolfach Reports, volume 5 (2008), issue 2.

  • • Non-uniruledness results for spaces of rational curves on hypersurfaces
       Algebra and Number Theory Journal, 6-4 (2012) 669--687.

  • • Fibers of generic projections (with D. Eisenbud)
       Compositio Math., 146 (2010) no. 2, 435--456.

  • • Rational surfaces in index-one Fano hypersurfaces (with J. Starr)
       J. Algebraic Geometry, 17 (2008), no. 2, 255--274.

  • • Linear subvarieties of smooth hypersurfaces
       Internat. Math. Res. Notices, 49 (2005), 3055--3063.

  • • Lines on projective hypersurfaces
       J. Reine Angew. Math., 592 (2006), 1--21.

  • • Lines on Fano hypersurfaces
        Ph. D. Thesis, Massachusetts Institute of Technology, May 2003

  • • Elementary Number Theory, Challenging Problems (with M. Mirzakhani)
        Fatemi Publishers, Iran, 1999 (Book in Persian)