Roya Beheshti's Research
Roya Beheshti
Publications

• Toric generic P2 bundles, in preparation
(with C. Araujo, A-M Castravet, K. Jabbusch, S. Makarova, E. Mazzon, N. Viswanathan)
• On the asymptotic enumerativity property for Fano manifolds
(with B. Lehmann, C. Lian, E. Riedl, J. Starr, S. Tanimoto), submitted for publication
•
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)