Published: 1987 Received: April 25, 1984Available on J-STAGE: October 20, 2006Accepted: -
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) K. T. Chern, On Bezout's theorem, Amer. J. Math., 106 (1984), 725-744. 2) W. Fulton, Intersection theory, Springer, 1984. 3) A. Grothendieck, Revêtements étales et groupe fondamental(SGA 1), Lecture Notes in Math., 224, Springer, 1971. 4) R. C. Gunning, Lectures on vector bundles over Riemann surfaces, Princeton Univ. Press, Princeton, 1967. 5) H. Hasse and E. Witt, Zyklische unverzweigte Erweiterungs-körper vom Primzahl-grade p über einem algebraichen Funktionen-körper der Charakteristik p, Monatsh. Math. Phy., 43 (1936), 477-492. 6) Y. Ihara, On the number of modular representations of fundamental groups of Riemann surfaces, to appear. 7) H. Katsurada, Generalized Hasse-Witt invariants and unramified Galois extensions of an algebraic function field, J. Math. Soc. Japan, 31 (1979), 101-125. 8) H. Katsurada, On unramified SL2(F4)-extensions of an algebtaic function field, Proc. Japan Acad., 56 Ser. A (1980), 36-39. 9) H. Katsurada, On unramified SL2(Fp) -extensions of an algebraic function field of genus 2, Proc. Japan Acad., 57 Ser. A (1981), 424-425. 10) H. Lange and U. Stuhler, Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe, Math. Z., 156 (1977), 73-83. 11) S. Nakajima, On generalized Hasse-Witt invarinants of an algebraic curve, Advanced Studies in Pure Math., 2 (1983), 69-88. 12) M. S. Narasimhan and S. Ramanan, Moduli of vector bundles on a compact Riemann surface, Ann of Math., 89 (1969), 14-51. 13) M. S. Narasimhan and C. S. Seshadri, Stable and unitary vector bundles on a compact Riemann surface, Ann, of Math., 82 (1965), 540-567. 14) H. Popp, Über die Fundamentalgruppe einer punktierten Riemannschen Fläche bei Charakteristik p>0, Math. Z., 96 (1967), 111-124. 15) I. R. Šafarevic, On p-extensions, Math. USSR-Sb., 20 (1947), 351-363. 16) I. R. Šafarevic, Basic Algebraic Geometry, Springer, 1974. 17) C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann, of Math., 85 (1967), 303-336. 18) B. Mitchel, Theory of Categories, Academic Press, New York and London, 1965.
Right : [1] K. T. Chern, On Bezout's theorem, Amer. J. Math., 106 (1984), 725-744. [2] W. Fulton, Intersection theory, Springer, 1984. [3] A. Grothendieck, Revêtements étales et groupe fondamental(SGA 1), Lecture Notes in Math., 224, Springer, 1971. [4] R. C. Gunning, Lectures on vector bundles over Riemann surfaces, Princeton Univ. Press, Princeton, 1967. [5] H. Hasse and E. Witt, Zyklische unverzweigte Erweiterungs-körper vom Primzahl-grade p über einem algebraichen Funktionen-körper der Charakteristik p, Monatsh. Math. Phy., 43 (1936), 477-492. [6] Y. Ihara, On the number of modular representations of fundamental groups of Riemann surfaces, to appear. [7] H. Katsurada, Generalized Hasse-Witt invariants and unramified Galois extensions of an algebraic function field, J. Math. Soc. Japan, 31 (1979), 101-125. [8] H. Katsurada, On unramified SL2(F4)-extensions of an algebtaic function field, Proc. Japan Acad., 56 Ser. A (1980), 36-39. [9] H. Katsurada, On unramified SL2(Fp) -extensions of an algebraic function field of genus 2, Proc. Japan Acad., 57 Ser. A (1981), 424-425. [10] H. Lange and U. Stuhler, Vektorbündel auf Kurven und Darstellungen der algebraischen Fundamentalgruppe, Math. Z., 156 (1977), 73-83. [11] S. Nakajima, On generalized Hasse-Witt invarinants of an algebraic curve, Advanced Studies in Pure Math., 2 (1983), 69-88. [12] M. S. Narasimhan and S. Ramanan, Moduli of vector bundles on a compact Riemann surface, Ann of Math., 89 (1969), 14-51. [13] M. S. Narasimhan and C. S. Seshadri, Stable and unitary vector bundles on a compact Riemann surface, Ann, of Math., 82 (1965), 540-567. [14] H. Popp, Über die Fundamentalgruppe einer punktierten Riemannschen Fläche bei Charakteristik p>0, Math. Z., 96 (1967), 111-124. [15] I. R. Šafarevic, On p-extensions, Math. USSR-Sb., 20 (1947), 351-363. [16] I. R. Šafarevic, Basic Algebraic Geometry, Springer, 1974. [17] C. S. Seshadri, Space of unitary vector bundles on a compact Riemann surface, Ann, of Math., 85 (1967), 303-336. [18] B. Mitchel, Theory of Categories, Academic Press, New York and London, 1965.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -