Montserrat Teixidor
Office: Bromfield-Pearson Building, Room 115
Phone: 72358
Current research interests
Algebraic Geometry and especially Moduli
of Vector Bundles on Curves
Publications and preprints
- For which Jacobi varieties is Sing $\theta$ reducible
- Crelles J. 354 (1985), 141-149.
- Geometry of linear series
- Ph.D Thesis. Universitat de Barcelona, 1986.
- Half-canonical series on algebraic curves
- Trans. of the A.M.S. 302 (1987), 99-115.
- On translation invariance for W^r_d
- Crelle's J. 385 (1988), 10-23.
- The divisor of curves with a vanishing theta-null
- Comp. Math. 66 (1988), 15-22.
- Inversion of abelian integrals
- Arkiv der math. 51 (1988), 573-576.
- Brill-Noether for vector bundles of rank 2
- Tohoku Math. J. 43 (1991), 123-126.
- Brill-Noether for stable vector bundles
- Duke Math. J. 62 N2 (1991), 385-400.
- Moduli spaces of (semi)stable vector bundles on tree-like curves
- Math. Ann. 290 (1991), 341-348.
- with C.Ciliberto and G. van der Geer) On the number of
parameters for curves whose Jacobians possess non-trivial endomorphisms
- Journal of Algebraic Geometry 1 (1992), 215-229.
- (with P.Pirola) Generic Torelli for W^r_d
- Math Z. 209 (1992), 53-54.
- (with C.Ciliberto and J.Harris) On the endomorphisms of the
Jacobian of W^1_d(C) when \rho=3D1 and C has general moduli
- Proceedings of the Trento Conference. L.N.M. 1515, 41-67.
- (with L.Tu) Theta Divisors for vector bundles. In Curves,
Jacobians and Abelian Varieties
- Contemporary Mathematics 136, 327-342. 1992.
- On the Petri map for rank 2 vector bundles
- Man. Math. 75 (1992), 375-382.
- Moduli spaces of vector bundles on reducible curves
- Amer. J of Math. 117 N1 (1995), 125-139.
- Singular locus of the Theta divisor on the moduli space of
rank 2 vector bundles
- Math. Zeitschrift. 219 (1995), 477-489
- Curves in Grassmannians
- Proceedings of the AMS V126 N6 (1998), 1597-1603.
- Hilbert stability versus slope stability for vector bundles of two
- in ``Algebraic Geometry'' , Lecture Notes in Pure and Applied Math.,
200 editor P.Newstead, Marcel Dekker 1998
- A Riemann Singularity Theorem for generalized Brill-Noether loci
- Math Nachrichten, 196 (1998), 251-257.
- Compactification of the moduli space of vector bundles on singular
curves: two points of view
- Collectaneae Math ( Volume in honor of Fernando Serrano) 49 (1998), 527-548.
- Stable extensions by line bundles
- Crelle Math J. 502 (1998), 163-173.
- (with B. Russo) On Lange's conjecture
- J of Alg Geom, 8 (1999), 483-496
- On a Conjecture of Lange
- J fur die reive und angewandte Mathematik, 528 (2000) in press
- Green's conjecture for the generic r-gonal curve of genus g>3r-7
- Duke Math. J 111, N2,2002,195-222.
- Brill-Noether for vector bundles of rank two and canonical determinant
- Mathematische Nachrichten. To appear.
- Subbundles of maximal degree
- To appear in Mathematical Proceedings of the Cambridge Philosophical Society
- Existence of vector bundles of rank two with sections.
- preprint.