Publications and Preprints by Edoardo Sernesi



Articles:

  • Non-surjective Gaussian maps for singular curves on K3 surfaces. (in collaboration with C. Fontanari). Collectanea Mathematica 70 (2019), 107-115 SharedIt - arXiv:1802.01311
  • The Wahl map of one-nodal curves on K3 surfaces. Contemporary Mathematics 712 (2018), 307-315. arXiv:1701.04801
  • Gaussian maps of plane curves with nine singular points. Annali dell'Università di Ferrara, 63 (1) (2017) 201-210 - SharedIt
  • Equigeneric and equisingular families of curves on surfaces, (in collaboration with T. Dedieu), Publicacions Matematiques 61 (2017), 175-212. pdf - arXiv:1410.4221
  • Excess dimension for secant loci in symmetric products of curves, (in collaboration with M. Aprodu), Collectanea Mathematica 68 (2017), 1-7 SharedIt - arXiv:1506.05281 -
  • Corrado Segre, Guido Castelnuovo and the Riemann-Roch Theorem, in From Classical to Modern Algebraic Geometry, Corrado Segre's Mastership and Legacy. p. 485-495. Birkhauser 2016. preprint
  • Syzygies and logarithmic vector fields along plane curves (in collaboration with A. Dimca). Journal de l'Ecole Polytechnique - Mathematiques, vol. 1 (2014), 247-267. arXiv:1401.6838
  • The symmetric square of a curve and the Petri map. (in collaboration with A. Bruno), arXiv 1106.3190
  • The work of Beniamino Segre on curves and their moduli. In Mathematicians in Bologna 1861-1960. Salvatore Coen Editor. Birkhauser Verlag (2012), p. 439-450. pdf
  • Projective geometry related to the singularities of theta divisors of jacobians (in collaboration with Ciro Ciliberto), Bollettino dell'Unione Matematica Italiana, (9) III (2010), 93-109. - pdf
  • A smoothing criterion for families of curves, preprint February 2009 - pdf
  • Partial desingularizations of families of nodal curves, appendix to On families of rational curves in the Hilbert square of a surface, by F. Flamini, A. L. Knutsen, G. Pacienza, Michigan Mathematical Journal, 58 (2009), 679-682. arXiv:0704.1367v1 .
  • Some remarks on symmetric correspondences, (in collaboration with H. Lange) Abh. Math. Sem. Hamburg. 77 (2007), 97-108. - pdf
  • Characterizing curves by their odd theta-characteristics (in collaboration with L. Caporaso), J. fur die Reine und Angew. Math. 562 (2003), 101-135. - AG/0204164 .
  • Curves of genus g on an abelian variety of dimension g (in collaboration with H. Lange), Indagationes Math. 13 (4) (2002), 523-535. AG/0206247. pdf available on request.
  • Severi varieties and branch curves of abelian surfaces of type (1,3) (in collaboration with H. Lange), International J. of Math. 13 (2002), 227-244. AG/0104223 . pdf available on request.
  • Famiglie di curve sulle superfici algebriche, Bollettino UMI (8) 3-B (2000), 1-10. online version .
  • On the geometry of canonical curves of odd genus (in collaboration with Ciro Ciliberto), Communications in Algebra 28 (2000), 5993-6001. pdf . pdf available on request.
  • De Franchis' contributions to the theory of algebraic curves, supplemento ai Rendiconti del Circolo Matematico di Palermo, s. II, vol. 55 (1998), p. 39-44. pdf
  • Nodal curves on surfaces of general type (in collaboration with L. Chiantini), Math. Annalen 307 (1997), 41-56. AG/9602012 . pdf available on request.
  • Giacomo Albanese (in collaboration with Ciro Ciliberto), Queen's Papers in Pure and Applied Mathematics, vol. 103 (1996).
  • Famiglie di spazi plurisecanti, in Seminari di Geometria 1994-95, Bologna 1996, p. 227-232. pdf
  • Quadrics containing a Prym-canonical curve (in collaboration with H. Lange), J. Algebraic Geometry 5 (1996), 387-399. pdf
  • Ruggiero Torelli (in collaboration with Ciro Ciliberto), Queen's Papers in Pure and Applied Mathematics, vol. 101 (1995).
  • Singularities of the theta divisor and families of secant spaces to a canonical curve (in collaboration with Ciro Ciliberto), J. of Algebra 171 (1995), 867-893. pdf available on request.
  • Superfici di Riemann, on Enciclopedia delle Scienze Fisiche, Enciclopedia Italiana.
  • On the symmetric products of a curve (in collaboration with Ciro Ciliberto), Arch. Math. 61 (1993), 285-290.
  • Singularities of the theta divisor and congruences of planes (in collaboration with Ciro Ciliberto), J. Algebraic Geometry 1(1992), 231-250.
  • Some aspects of the scientific activity of Michele De Franchis (in collaboration with Ciro Ciliberto), supplemento ai Rend. Circ. Mat. Palermo (II), n. 27 (1991), 1-36.
  • Families of Varieties and the Hilbert Scheme (in collaboration with Ciro Ciliberto), in M.Cornalba et al. (eds), Riemann Surfaces - Proceedings of the 1987 ICTP College on Riemann Surfaces, p. 428-499. World Scientific Press (1989).
  • Curves on surfaces of degree 2r-d in Pr (in collaboration with Ciro Ciliberto), Comment. Math. Helvetici, 64 (1989), 300-328. pdf
  • On the existence of certain families of curves, Inventiones Math. 75 (1984), 25-57. pdf
  • Un esempio di curva ostruita in P3, in Seminario di Variabili Complesse 1981, Bologna 1982, 223-231. pdf
  • L'unirazionalità della varietà dei moduli delle curve di genere dodici, Annali Sc. Norm. Superiore Pisa (4) 8 (1981), 405-439. online version
  • The equation of a plane curve (in collaboration with E. Arbarello), Duke Math. J. 46 (1979), 469-485. pdf available on request.
  • Petri's approach to the study of the ideal associated to a special divisor (in collaboration with E. Arbarello), Inventiones Math. 49 (1978), 99-119. pdf
  • L-dimension and deformations, Proc. Symposia in Pure Math. 30 (1977), 285-288.
  • Semicontinuity of L-dimension (in collaboration with D. Lieberman), Math. Annalen 225 (1977), 77-88. online version
  • Some remarks on deformations of invertible sheaves, Bollettino U.M.I. 13 (1976), 168-174. pdf
  • Small deformations of global complete intersections, Bollettino U.M.I. 12 (1975), 138-146. pdf
  • Semicontinuity of Kodaira dimension (in collaboration with D. Lieberman), Bull. A.M.S. 81 (1975), 459-460. pdf
  • Alcune osservazioni sulla rappresentabilità di funtori, Ricerche di Matematica 19 (1970), 166-170.


Books:

  • Linear Algebra, a geometric approach, Chapman & Hall, London 1993.
  • Geometria I, Bollati Boringhieri, Torino 1989.
  • Corso di Geometria I, CISU, Roma 1988.
  • Topics on Families of Projective Schemes, Queen's Papers in Pure and Applied Mathematics, vol. 73 (1986). djvu


Books edited:

  • Space Curves - Proceedings, Rocca di Papa 1985 (in collaboration with F. Ghione and C. Peskine), Springer Lecture Notes in Mathematics, vol. 1266.
  • Theory of Moduli - Montecatini Terme, 1985 Springer Lecture Notes in Mathematics, vol. 1337.
  • M. de Franchis: Opere (in collaboration with Ciro Ciliberto), supplemento ai Rendiconti del Circolo Matematico di Palermo, s. II, vol. 27 (1991).
  • Algebra e Geometria (1860-1940): Il contributo italiano. Cortona 4-8 maggio 1992 (in collaboration with A. Brigaglia and Ciro Ciliberto), supplemento ai Rendiconti del Circolo Matematico di Palermo, s. II, vol. 36 (1994).
  • Collected Papers of Ruggiero Torelli (in collaboration with Ciro Ciliberto and P. Ribenboim), Queen's Papers in Pure and Applied Mathematics, vol. 101 (1995).
  • Collected Papers of Giacomo Albanese (in collaboration with Ciro Ciliberto and P. Ribenboim), Queen's Papers in Pure and Applied Mathematics, vol. 103 (1996).


Lectures:

  • Algebraic curves and their moduli, lectures given at the CIMPA School ''Moduli of Curves'', Guanajuato (Mexico), February 22 - March 4, 2016. pdf
  • Plane quartics, lectures given at the Workshop ''Quartiche piane, mappa di Scorza e argomenti correlati '', Catania, January 19-21, 2016. pdf
  • Lectures on the birational geometry of Mg, lectures given at the second NIMS School in Algebraic Geometry, Daejeon, Korea, May 12-15, 2008. pdf
  • An overview of classical deformation theory , Notes from Seminari di Geometria Algebrica 2000/2001, Univ. La Sapienza.
  • Introduzione ai piani doppi, in Seminario di Geometria 1977/78, Centro di Analisi Globale, Firenze 1979, 1-78.