On étale SL2(Fp) -coverings of algebraic curves of genus 2

Hidenori KATSURADA

doi:10.2969/jmsj/03930397

On étale SL₂(F_p) -coverings of algebraic curves of genus 2

Hidenori KATSURADA

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ジャーナルフリー

1987 年 39 巻 3 号 p. 397-434

DOI https://doi.org/10.2969/jmsj/03930397

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Published: 1987 Received: 1984/04/25 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: 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(F_p) -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(F_p) -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.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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