Publications and Preprints
This list may be incomplete and outdated. Please check the personal webpages for completion.
- Angela Ortega (with H. Lange), The Prym map of degree-7 cyclic coverings, arXiv:1501.07511
- Gavril Farkas (with N. Tarasca), Pointed Castelnuovo numbers , arxiv:1501.04882.
- Remke Kloosterman Chevalley-Weil formula for hypersurfaces in Pn-bundles over curves and Mordell-Weil ranks in function field towers arXiv:1501.05184.
- Gavril Farkas and Michael Kemeny The generic Green-Lazarsfeld secant conjecture, arXiv:1408.4164.
- Gavril Farkas (with A. Verra) The universal abelian variety over A5, arXiv:1402.0539.
- Gavril Farkas (with A. Verra) The geometry of the moduli space of odd spin curves, arXiv:1004.0278, to appear in Annals of Mathematics 180 (2014), 927-970.
- Gavril Farkas and Angela Ortega (with Marian Aprodu) Restricted Lazarsfeld-Mukai bundles and canonical curves, arXiv:1410.0857, to appear in Advanced Studies in Pure Mathematics (Math. Soc. Japan) on the occasion of Mukai's 60th birthday.
- Remke Kloosterman Noether-Lefschetz theorem for hypersurface sections of singular threefolds, arXiv:1403.3609.
- Remke Kloosterman, Maximal families of nodal varieties with defect , arXiv:1310.0227.
- Gavril Farkas, Brill-Noether with ramification at unassigned points, arXiv:1301.5673.
- Gavril Farkas (with A. Verra), The universal difference variety over Mg , pdf, to appear in Rendiconti del Circolo Matematico di Palermo 62 (2013), 97-110.
- Angela Ortega (with H. Lange) Log canonical models of the moduli space of spin curves of genus two , J. London Math. Soc. 90, No.3 (2014), 763--784. ArXiv: math.AG/1309.6984.
- Paul Larsen, Fano schemes of genericintersections and machine learning, arXiv:1301.3078.
- Gavril Farkas (with Dawei Chen and Ian Morrison), Effective divisors on moduli spaces of curves, arXiv:1205.6138, to appear in the proceedings of "A Celebration of Algebraic Geometry" (ed. Brendan Hassett, James McKernan, Jason Starr, and Ravi Vakil).
- Gavril Farkas, Theta characteristics and their moduli, arXiv:1201.2557, to appear in the Milan Journal of Mathematics.
- Gavril Farkas (with Alessandro Chiodo), Singularities of the moduli space of level curves, arXiv:1205.0201.
- Gavril Farkas (with Alessandro Chiodo, David Eisenbud, and Frank-Olaf Schreyer), Syzygies of torsion bundles and the geometry of the level l modular variety over Mg, arXiv:1205.0661.
- Paul Larsen, Notes on Fano varieties of complete intersections, arXiv:1211.6249.
- Paul Larsen, Complete intersections and movable curves on the moduli space of six-pointed rational curves, to appear in the International Journal of Algebra and Computation, arXiv:1203.4686.
- Cristina Manolache (with Tom Coates, Amin Gholampour, Hiroshi Iritani, Yunfeng Jiang, and Paul Johnson), The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces, arXiv:1202.2754.
- Fabian Müller, The pullback of a theta divisor to M_{g,n}, arXiv:1203.3102.
- Angela Ortega, The Brill-Noether curve and Prym-Tyurin varieties, arXiv:1203.2780.
- Nicola Tarasca, Brill-Noether loci in codimension two, arXiv:1201.4948.
- Gavril Farkas, Brill-Noether geometry on moduli spaces of spin curves, Classification of algebraic varieties-Schiermonnikoog 2009, 259-276, C. Faber, G. van der Geer, E. Looijenga editors, EMS Congress Reports 2011 (dvi, pdf).
- Gavril Farkas (with Marian Aprodu), Green's Conjecture for general covers, Compact moduli spaces and vector bundles, Athens Georgia, Contemporary Mathematics, 564 (2012).(pdf).
- Gavril Farkas (with Marian Aprodu), The Green Conjecture for smooth curves lying on arbitrary K3 surfaces, Compositio Mathematica 147 (2011),839-851 (dvi, pdf).
- Gavril Farkas, Prym varieties and their moduli, arXiv:1104.2886, to appear in the volume "Contributions to algebraic geometry" (P. Pragacz editor), EMS Congress Reports.
- Gavril Farkas (with Alessandro Verra), Moduli of theta-characteristics via Nikulin surfaces,to appear in Mathematische Annalen (2012)(dvi, pdf).
- Gavril Farkas (with Samuel Grushevsky, Ricardo Salvati-Manni and Alessandro Verra), Singularities of theta divisors and the geometry of A_5, arXiv.1112.6285(dvi, pdf).
- Margherita Lelli-Chiesa, Stability of rank 3 Lazarsfeld_Mukai bundles on K3 surfaces, arXiv:1112.2938.
- Gavril Farkas and Angela Ortega, Higher rank Brill-Noether theory on sections of K3 surfaces, to appear in the International Journal of Mathematics, arXiv:1102.0276.
- Remke Kloosterman, Cuspidal plane curves, syzygies and a bound on the MW-rank, arXiv:1107.2043.
- Remke Kloosterman (with Y .Goto, N. Yui), Zeta-functions of certainK3 fibered Calabi--Yau threefolds, InternationalJournal of Mathematics 22:67-129 (2011) (arXiv:0911.0783).
- Paul Larsen, Permutohedral spaces and the Cox ring ofthe moduli space of stable pointed rationalcurves, to appear in Geometriae Dedicata, arXiv:1105.5106.
- Angela Ortega (with Herbert Lange), Prym varieties of cyclic coverings, Geom. Dedicata 150 (2011), 391-403.
- Angela Ortega (with Herbert Lange), Compactification of the Prym map for non cyclic triple coverings , Int. J Math. 24, No. 3, 1350015 (2013), arXiv:1103.4982.
- Nicola Tarasca, Double points of plane models in M_{6,1}, Journal of Pure and Applied Algebra 216 (2012), pp. 766-774 (arXiv:1102.4087).
- Michele Bolognesi (with Sonia Brivio), Modular subvarieties and birational geometry of SU_C(r), to appear in International Journal of Mathematics(arXiv:1002.4382).
- Michele Bolognesi, Forgetful linear systems on the projective space and rational normal curves over M_{0,2n}^{GIT}, Bull. Lond. Math. Soc. 43, no. 3, 583–596 (2011).
- Gavril Farkas, Rational maps between moduli spaces of curves and Gieseker-Petri divisors, Journal of Algebraic Geometry 19, 243-284 (2011) (dvi, pdf).
- Gavril Farkas (with Alessandro Verra), The universal theta divisor over the moduli space of curves, arXiv:1009.0184.
- Gavril Farkas (with Alessandro Verra), The classification of universal Jacobians over the moduli space of curves,to appear in Commentarii Mathematici Helvetici(2012)(dvi, pdf).
- Gavril Farkas and Angela Ortega, The maximal rank conjecture and rank two Brill-Noether theory, Pure and Applied Mathematics Quarterly 7 (2011), 1265-1296,Special volume dedicated to the memory ofE. Viehweg(dvi, pdf).
- Margherita Lelli-Chiesa, The Gieseker-Petri divisor in M_g for genusless or equal than 13, to appear in Geometriae Dedicata(arXiv:1012.3061).
- Remke Kloosterman, The average rank of elliptic n-folds,to appear in Indiana University MathematicsJournal(arXiv:1010.0152).
- Cristina Manolache, Virtual push-forwards, to appear in Geometry and Topology, arXiv:1010.2704.
- Angela Ortega (with Herbert Lange), Prym varieties of triple coverings, Int. Math. Res. Not. no. 22, 5045-5075 (2011).
- Gavril Farkas, The global geometry of the moduli space of curves,Algebraic Geometry Seattle 2005, Proceedings of Symposia in Pure Mathematics 80 (2009)125-147(dvi, pdf).
- Gavril Farkas, Koszul divisors on moduli spaces of curves, American Journal of Mathematics 131 (2009), 819-867(dvi, pdf).
- Gavril Farkas, The Fermat cubic and special Hurwitz loci in M_g, Bulletin of the Belgian Mathematical Society "Simon Stevin" 5(2009), 831-851,Special volume dedicated to the conference "Linear series andsubschemes"-Ghent 2007(dvi, pdf).
- Gavril Farkas (with Marian Aprodu), Koszul cohomology and applications to moduli, Grassmannians, moduli spaces and vector bundles,Clay Mathematics Proceedings, E. Previato editor, Volume 14, 2011,25-50(dvi, pdf).
- Gavril Farkas (with Alessandro Verra), The intermediate type of certain moduli spaces of curves,arXiv:0910.3905.
- Paul Larsen, Fulton's conjecture for M_{0,7}, Journal of the London Mathematical Society (2011) (arXiv:0912.3104, 2009).
- Angela Ortega (with L. Brambila-Paz), Brill--Noether bundles and coherent systems on special curves, Moduli spaces and vector bundles, 456–472, London Math. Soc. LectureNote Ser., 359, Cambridge Univ. Press, Cambridge, 2009.
- Angela Ortega (with L. Brambila-Paz), Estabilidad de sistemas coherentes, Aportaciones Mat. Comun. 40 , Soc. Mat. Mexicana (2009), 15-26.
- Gavril Farkas, Higher ramification and varieties of secant divisors on the generic curve, Journalof the London Mathematical Society 78 (2008), 418-440(dvi, pdf).
- Gavril Farkas, Aspects of the birational geometry of M_g,"Geometry of Riemann surfaces and their moduli spaces," Surveys inDifferential Geometry Vol. 14 (2010), 57-111(dvi, pdf).
- Gavril Farkas (with Katharina Ludwig), The Kodaira dimension of the moduli space of Prym varieties, Journal of the European Mathematical Society 12 (2010), 755-795.(dvi, pdf).
- Gavril Farkas, The birational type of the moduli space of even spin curves, Advances in Mathematics 223 (2010),433-443(dvi, pdf).
- Remke Kloosterman, The elliptic threefold y2=x3+16s6+16t6-32(t3s3+t3+s3)+16to appear in Rocky Mountain Journal of Mathematics (arXiv:0812.3222)
- Remke Kloosterman, On the classification of degree 1 elliptic threefolds with constant j-invariant.to appear in Illinois Journal of Mathematics(arXiv:0812.3014).
- Remke Kloosterman (with K. Hulek), Calculating theMordell-Weil rank of elliptic threefolds and the cohomology ofsingular hypersurfaces, to appear in Annales de l'Institut Fourier(arXiv:0806.2025).
- Cristina Manolache, Virtual pull-backs, to appear in Journal of Algebraic Geometry (2012)(arXiv:0805.2065v2).