Giuseppe Pareschi

 Research Papers

• N. Alvarado, G. Pareschi: Abelian varieties analogs of two results about algebraic curves , preprint 2025, arXiv:2502.11288 [math.AG]]

• N. Alvarado, G. Pareschi: Semihomogeneous vector bundles, Q-twisted sheaves, duality, and linear systems on abelian varieties , preprint 2024, arXiv:2407.20646 [math.AG]]

• G. Pareschi: Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory , Pure and applied mathematics quarterly, 20 (2024) 2379-2413 Dedicated to Enrico Arbarello.

• F. Caucci, L. Lombardi, G. Pareschi: Derived invariance of the Albanese relative canonical ring , Advances in Mathematics 419 (2023) article n. 108965

• E. Arbarello, G. Codogni, G. Pareschi: Characterizing jacobians via the KP equation and flexes to the Kummer variety: an algebro-geometric approach , Crelle's Journal 777 (2021) 251 -271

• G. Pareschi: Torsion points on theta divisors and semihomogeneous vector bundles, Algebra and Number Theory Vol.15 n.6 (2021) 1581 - 1592

• G. Pareschi: Singularities of divisors on simple abelian varieties, International Mathematics Research Notices, Volume 2021 Issue 21 (2021) p. 16724 - 16733

• G. Pareschi, R. Salvati Manni: 2-torsion points on theta divisors, Intarnational Mathematics Research Notices, Volume 2021 Issue 19 (2021) p. 14616 - 14628

• Z. Jiang, G. Pareschi: Cohomological rank functions on abelian varieties, Annales de L'Ecole Normale Superieure 53 (2020) 815 - 846

• F. Caucci, G. Pareschi: Derived invariants arising from the Albanese map, Algebraic Geometry 6 (2019) 730 - 746.

• G. Pareschi: Standard canonical support loci, Rend. Circ. Mat. Palermo, II Ser. 66 (2017) 137-157. Dedicated to Philippe Ellia.

• G. Pareschi: Fully faithful Fourier-Mukai functors and generic vanishing , Ann. Univ. Ferrara 63 (2017) 185-199. In memory of A. T. Lascu.

•   G. Pareschi, M. Popa, Ch. Schnell: Hodge modules on complex tori and generic vanishing for compact Kahler manifolds , Geometry & Topology 21 (2017) 2419-2460

• G. Pareschi: Gaussian maps and generic vanishing I: subvarieties of abelian varieties , in "Recent advances in algebraic geometry" London Math. Soc. Lecture Note Series, 417, Cambridge University Press 2015, 291-306 Dedicated to Rob Lazarsfeld

• G. Pareschi: Basic results on irregular varieties via Fourier-Mukai methods, in "Current Developments in Algebraic Geometry", MSRI Publications, Cambridge University Press (2012) 379-403

•  M.A. Barja, M. Lahoz, J.C. Naranjo, G. Pareschi: On the bicanonical map of irregular varieties , Journal of Algebraic Geometry 21 (2012) 445-471

• E. Colombo, P. Frediani, G. Pareschi: Hyperplane sections of abelian surfaces , Journal of Algebraic Geometry 21 (2012) 183-200

•  R. Lazarsfeld, G. Pareschi, M. Popa: Local positivity, multiplier ideals, and syzygies of abelian varieties , Algebra and Number Theory 5 (2011) 185-196

• G. Pareschi, M. Popa: GV-sheaves, Fourier-Mukai transform, and generic vanishing , American Journal of Mathematics 133 (2011) 235 -- 271 (2011)

• G. Pareschi, M. Popa: Regularity on abelian varieties, III: relationship with Generic Vanishing and applications , in "Grasmannians, moduli spaces and vector bundles" (D.A. Ellwood, E. Previato eds), Clay Mathematical Institute Proceedings, AMS (2011) 141-168

• G. Pareschi, M. Popa: Strong generic vanishing and a higher dimensional Castelnuovo-de Franchis inequality, Duke Mathematical Journal 150 (2009) 269-285

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

• G. Pareschi, M. Popa: Castelnuovo theory and the geometric Schottky problem, Crelle's Journal 615 (2008) 25--44, arXiv:math/0407370v4 [math.AG]

• G. Pareschi, 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]

• G. Pareschi, 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]

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

• G. Pareschi: Syzygies of abelian varieties, Journal of the American Mathematical Society 13 (2000), 651-664 pdf

• G. Pareschi: Picard bundles and syzygies of canonical curves, in "Commutative Algebra and Algebraic Geometry" Lecture notes in pure and applied mathematics 206, M. Dekker (1999) 227-236 pdf. Dedicated to Mario Fiorentini.

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

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

• C. Ciliberto, G. Pareschi: Pencils of minimal degree on curves on a K3 surface}, Crelle's Journal 460 (1995) 15-36

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

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

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

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

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

• G. Pareschi: 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

• R. Chiavacci, G. Pareschi: Some bounds for the regular genus of closed PL manifolds, Discrete Math. 82 (1990) 165-180