RT Journal Article T1 Higher order dual varieties of generically k-regular surfaces A1 Mallavibarrena Martínez de Castro, Raquel A1 Lanteri, Antonio AB We 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. PB Birkhäuser Verlag SN 0003-889X YR 2000 FD 2000-07-03 LK https://hdl.handle.net/20.500.14352/57578 UL https://hdl.handle.net/20.500.14352/57578 LA eng NO M. 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). DS Docta Complutense RD 27 abr 2024