Giuseppe Pareschi

 Research Papers

•  Some basic results on irregular varieties revisited with the Fourier-Mukai transform, pdfto appear on "Current developments in Algebbraic Geometry", Proceedings of the MSRI Workshop "Classical algebraic geometry today", January 2009 (L. Caporaso, J. McKernan, M. Mustata, M. Popa eds)

•  Local positivity, multiplier ideals, and syzygies of abelian varieties, arxiv:1003.4470v1[math.AG], Algebra and Number Theory 5 (2011) 185-196 (with R. Lazarsfeld and M.Popa)

•  On the bicanonical map of irregular varieties, arxiv:0907.4362v2[math.AG], to appear on the Journal of Algebraic Geometry (with M.A. Barja, M. Lahoz and J.C. Naranjo)

•  Hyperplane sections of abelian surfaces, arxiv:0903.2781v1[math.AG], to appear on the Journal of Algebraic Geometry, (with E. Colombo and P. Frediani)

•  Strong generic vanishing and a higher dimensional Castelnuovo-de Franchis inequality, Duke Mathematical Journal 150 (2009) 269-285 arXiv:0808.2444v1 [math.AG] (with M. Popa)

• GV-sheaves, Fourier-Mukai transform, and generic vanishing, American Journal of Mathematics 133 (2011) 235 -- 271 (2011) arXiv:math/0608127v3 [math.AG] (with M. Popa)

• Regularity on abelian varieties, III: relationship with Generic Vanishing and applications, to appear on "Grasmannians, sheaves and moduli" (D.A. Ellwood, E. Previato, M. Teixidor-i-Bigas eds), Proceedings Volume of the Clay Math. Institute, October 6-10, 2006 arXiv:0802.1021v2 [math.AG] (with M. Popa)

• Castelnuovo theory and the geometric Schottky problem, Journal f\"ur die reine und angewandte Mathematik 615 (2008) 25--44, arXiv:math/0407370v4 [math.AG] (with M. Popa)

•  Generic vanishing and varieties representing minimal cohomology classes on abelian varieties, Mathematische Annalen 340, n.1 (2008) 209-222, arXiv:math/0610166v2 [math.AG] (with M.Popa)

• Regularity on abelian varieties, II: basic results on linear series and defining equations, Journal of Algebraic Geometry 13 (2004) 167-193 arXiv:math/0110004v2 [math.AG] (with M. Popa)

•  Regularity on abelian varieties, I, Journal of the Amererican Mathematical Society 16 (2003), 285-302, arXiv:math/0110003v2 [math.AG] (with M. Popa)

• Syzygies of abelian varieties, Journal of the Amererican Mathematical Society 13 (2000), 651-664 pdf

•  Picard bundles and syzygies of canonical curves, in "Commutative Algebra and Algebraic Geometry" (F.~van Oeystayen, editor) Lecture notes in pure and applied mathematics 206, M. Dekker (1999) 227-236 pdf

• Canonical ring of a curve is Koszul: A simple proof, Illinois Journal of Mathematics, 41 (1997) 266-271 (with B. Purnaprajna)

•  Gaussian maps and multiplication maps on certain projective varieties, Compositio Mathematica 98 (1995) 219-268

• Pencils of minimal degree on curves on a K3 surface}, Journal \"ur die reine und Angewandte. Mathematik 460 (1995) 15-36 (with  C. Ciliberto)

• A proof of Lazarsfeld's theorem on curves on K3 surfaces, Journal of Algebraic Geometry 4 (1995) 195-200

• Koszul algebras associated to adjunction bundles, Journal of Algebra 157 (1993) 161-169

• Exceptional linear systems on curves on Del Pezzo surfaces, Mathematische Annalen 291 (1991) 17-38

•  Components of the Hilbert scheme of smooth space curves with the expected number of moduli, Manuscripta Mathematica 63 (1989) 1-16

•  On the regular genus of PL manifolds, Discrete Mathematics 82 (1990) 165-180 (with R. Chiavacci)

• On linearly normal space curves, Mathematische Zeitschrift 198 (1988) 73-82 (with A.Dolcetti)

• Curve aritmeticamente Buchsbaum su superfici di grado 3 e 4 dello spazio proiettivo,  (italian) Ann. Univ. Ferrara - Sez. VII - Sc. Mat. - Vol. XXXIII (1987), 219-235

 Surveys

•  $M$-regularity and theFourier-Mukai transform, Pure and Applied Mathematics Quarterly 4, n.3, (2008), 587-611. F. Bogomolov Special Issue  arXiv:math/0512645v2 [math.AG](with M. Popa)