Δημοσιεύσεις - Publications

 

1. The Picard group of the universal Picard varieties over the moduli space of curves.

     [Journal of Differential Geometry 34 (1991), 839-850].

2.  Divisors on symmetric products of curves.

     [Transactions of the A.M.S. 337 (1993), 117-128].

3.  Ample divisors on the moduli space of 0-genus n-pointed stable curves.

     [Communications in Algebra 21 (1993), 3165-3181].

4. On the moduli space of vector bundles on the fibers of the universal curve.

     [Journal of Differential Geometry 37 (1993), 505-522].

5.  Picard groups of Hilbert schemes for curves.

     [Journal of Algebraic Geometry 3 (1994), 671-684].

6.  The automorphism group of the moduli space of semi stable vector bundles.

     [with Tony Pantev, Mathematische Annalen 302 (1995), 225-268].

7.  On the symmetric product of a curve with general moduli.

     [with  Ciro Ciliberto, Geometriae Dedicata 78 (1999), 327-343].

8.  Theta line bundles and the determinant of the Hodge bundle.

     [Transactions of the A.M.S. 352 (2000), 2553-2568].

9. On some results of Morita and their application to questions of ampleness.

     [Mathematische Zeitschrift  241 (2002), 17-33].

10. Cycle relations on Jacobian varieties.

     [with Gerard van der Geer and with an appendix by Don Zagier, Compositio Math. 143 (2007), 900-908].

11. A note on Fano surfaces of nodal cubic threefolds.

     [with Gerard van der Geer, Advanced Studies in Pure Mathematics 58 (2010), 27-45].

12. The rank-one limit of the Fourier-Mukai transform.

     [with Gerard van der Geer, Documenta Mathematica 15 (2010), 747-763].

13. The Hodge bundle on Hurwitz spaces.

     [with Gerard van der Geer, Pure and Applied Mathematics Quarterly 7 (2011), Special Issue: In memory of Eckart Viehweg, 1297-1307].

14. Rational correspondences between moduli spaces of curves defined by Hurwitz spaces.

     [with Gerard van der Geer, Journal of Pure and Applied Algebra 216 (2012), 876-893].

15. The class of a Hurwitz divisor on the moduli of curves of even genus.

     [with Gerard van der Geer, Asian Journal of Mathematics 16 (2012), 787-806].

16. Divisors on Hurwitz spaces: An appendix to  “The cycle classes of divisorial Maroni loci”.

     [with Gerard van der Geer, Moscow Mathematical Journal 16 (2016), 767-774].

17. The cycle classes of divisorial Maroni loci.

     [with Gerard van der Geer, International Mathematics Research Notices 11 (2017), 3463-3509].

18. Measures of irrationality of the Fano surface of a cubic threefold.

     [with Frank Gounelas, Transactions of the A.M.S. 371 (2019), 7111-7133].

19. Effective cycles on the symmetric product of a curve, I: the diagonal cone (with an appendix by Ben Moonen).

     [with Francesco Bastianelli, Angelo Felice Lopez and Filippo Viviani, Transactions of the A.M.S. 372 (2019), 8709-8758].

20. Effective cycles on the symmetric product of a curve, II: the Abel-Jacobi faces.

     [with Francesco Bastianelli, Angelo Felice Lopez and Filippo Viviani, Rendiconti Lincei - Matematica e Applicazioni 31 (2020) 839-878].

21. On some invariants of cubic fourfolds.

     [with Frank Gounelas, European Journal of Mathematics (2023), https://doi.org/10.1007/s40879-023-00651-y].

22. Geometry of lines on a cubic fourfold.

    [with Frank Gounelas, International Mathematics Research Notices (2023), https://doi.org/10.1093/imrn/rnac160].

23. Effective divisors on projectivized Hodge bundles and modular forms.

    [with Gerard van der Geer, Mathematische Nachrichten (2023) , DOI: 10.1002/mana.202300098, 29 pp].

24. The Fermat cubic and monodromy of lines.

    [with Frank Gounelas, arXiv:2302.09562v1, 16 pp].