p. 71 - 77 Curves whose secant degree is one in positive characteristic E. Ballico Received: May 5, 2011; Revised: November 3, 2011; Accepted: November 10, 2011 Abstract. Here we study (in positive characteristic) integral curves X Ì Pr with secant degree one, i.e., for which a general P Î Seck-1(X) is in a unique k-secant (k - 1)-dimensional linear subspace. Keywords: Join; secant variety; rational normal curve. AMS Subject classification: Primary: 14N05; 14H50 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |