Mallavibarrena Martínez de Castro, RaquelLanteri, Antonio2023-06-202023-06-202000-07-03M. C. BELTRAMETTI and A. J. SOMMESE, On the preservation of k -very ampleness under adjunction. Math. Z. 212, 257–284 (1993). M. C. BELTRAMETTI and A. J. SOMMESE, The Adjunction Theory of Complex Projective Varieties. Exposition Math. 16, Berlin 1995. P. IONESCU, Embedded projective varieties with small invariants. Algebraic Geometry, Proc. Bucharest, 1982. In: L. Bădescu et al., eds., LNM 1056, 142–187. Berlin-Heidelberg-New York 1984. S. L. KLEIMAN, Tangency and Duality. In: Proc. 1984 Vancouver Conference in Algebraic Geometry, J. Carrell et al., eds., Can. Math. Soc. Conf. Proc. 6, 163–225 (1986). A. LANTERI and R. MALLAVIBARRENA, Higher order dual varieties of projective surfaces. Comm. Algebra 27, 4827–4851 (1999). I. REIDER, Vector bundles of rank 2 and linear systems on algebraic surfaces. Ann. Math. 127, 309–316 (1988). A. J. SOMMESE and A. VAN DE VEN, On the adjunction mapping. Math. Ann. 278, 593–603 (1987).0003-889X10.1007/s000130050476https://hdl.handle.net/20.500.14352/57578We prove that, if a smooth complex projective surface S subset of P-N is k-regular, then its k-th order dual variety has the expected dimension, except if S is the k-th Veronese surface. This answers positively a conjecture stated in a previous paper.engjournal articlehttp://www.springerlink.com/content/798frv8177k0eq90/fulltext.pdfhttp://www.springerlink.com/restricted access512.543.73AdjunctionÁlgebra1201 Álgebra