메뉴 건너뛰기




Volumn 7, Issue 1, 2004, Pages 47-96

Tau-functions on Hurwitz spaces

Author keywords

Hurwitz spaces; The Bergmann kernel; The Wirtinger projective connection

Indexed keywords


EID: 1842481658     PISSN: 13850172     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MPAG.0000022835.68838.56     Document Type: Article
Times cited : (41)

References (19)
  • 3
    • 0002214611 scopus 로고
    • Kernel functions, analytic torsion, and moduli spaces
    • Fay, J. D.: Kernel functions, analytic torsion, and moduli spaces, Mem. Amer. Math. Soc. 96(464) (1992).
    • (1992) Mem. Amer. Math. Soc. , vol.96
    • Fay, J.D.1
  • 4
    • 0000132766 scopus 로고
    • Hurwitz schemes and irreducibility of moduli of algebraic curves
    • Fulton, W.: Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. of Math. 90 (1969), 542-575.
    • (1969) Ann. of Math. , vol.90 , pp. 542-575
    • Fulton, W.1
  • 5
    • 0003172477 scopus 로고
    • Half-order differentials on Riemann surfaces
    • Hawley, N. S. and Schiffer, M.: Half-order differentials on Riemann surfaces, Acta Math. 115 (1966), 199-236.
    • (1966) Acta Math. , vol.115 , pp. 199-236
    • Hawley, N.S.1    Schiffer, M.2
  • 6
    • 49149137872 scopus 로고
    • Monodromy preserving deformations of linear ordinary differential equations with rational coefficients, I
    • Jimbo, M., Miwa, M. and Ueno, K.: Monodromy preserving deformations of linear ordinary differential equations with rational coefficients, I, Phys. D 2 (1981), 306-352.
    • (1981) Phys. D , vol.2 , pp. 306-352
    • Jimbo, M.1    Miwa, M.2    Ueno, K.3
  • 7
    • 1842690428 scopus 로고    scopus 로고
    • On solutions of Schlesinger equations in terms of theta-functions
    • Kitaev, A. and Korotkin D.: On solutions of Schlesinger equations in terms of theta-functions, Internat. Math. Res. Notices 17 (1998), 877-905.
    • (1998) Internat. Math. Res. Notices , vol.17 , pp. 877-905
    • Kitaev, A.1    Korotkin, D.2
  • 8
    • 33748184419 scopus 로고
    • Multiloop amplitudes in the theory of quantum strings and complex geometry
    • Knizhnik, V. G.: Multiloop amplitudes in the theory of quantum strings and complex geometry, Sov. Phys. Usp. 32(11) (1989), 945-971.
    • (1989) Sov. Phys. Usp. , vol.32 , Issue.11 , pp. 945-971
    • Knizhnik, V.G.1
  • 9
    • 3042788774 scopus 로고    scopus 로고
    • Matrix Riemann-Hilbert problems related to branched coverings of CP1
    • archive math-ph/0106009, I. Gohberg, A. F. dos Santos and N. Manojlovic (eds), Proceedings of the Summer School on Factorization and Integrable Systems, Algarve, September 6-9, 2000, Birkhäuser, Boston, to appear
    • Korotkin, D.: Matrix Riemann-Hilbert problems related to branched coverings of CP1, archive math-ph/0106009, In: I. Gohberg, A. F. dos Santos and N. Manojlovic (eds), Operator Theory: Advances and Application, Proceedings of the Summer School on Factorization and Integrable Systems, Algarve, September 6-9, 2000, Birkhäuser, Boston, 2002, to appear.
    • (2002) Operator Theory: Advances and Application
    • Korotkin, D.1
  • 11
    • 0000525424 scopus 로고
    • Topology of 2-dimensional coverings and meromorphic functions on real and complex algebraic curves
    • Natanzon, S. M.: Topology of 2-dimensional coverings and meromorphic functions on real and complex algebraic curves, Selecta Math. Soviet. 12(3) (1993), 251-291.
    • (1993) Selecta Math. Soviet. , vol.12 , Issue.3 , pp. 251-291
    • Natanzon, S.M.1
  • 12
    • 84980081270 scopus 로고
    • Weierstrass points, branch points, and moduli of Riemann surfaces
    • Rauch, H. E.: Weierstrass points, branch points, and moduli of Riemann surfaces, Comm. Pure Appl. Math. 12 (1959), 543-560.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 543-560
    • Rauch, H.E.1
  • 13
    • 84966203315 scopus 로고
    • A transcendental view of the space of algebraic Riemann surfaces
    • Rauch, H. E.: A transcendental view of the space of algebraic Riemann surfaces, Bull. Amer. Math. Soc. 71 (1965), 1-39.
    • (1965) Bull. Amer. Math. Soc. , vol.71 , pp. 1-39
    • Rauch, H.E.1
  • 15
    • 0011403082 scopus 로고
    • Periods of quadratic differentials
    • 204
    • Tyurin, A. N.: Periods of quadratic differentials (Russian), Uspekhi Mat. Nauk 33(6(204)) (1978), 149-195.
    • (1978) Uspekhi Mat. Nauk , vol.33 , Issue.6 , pp. 149-195
    • Tyurin, A.N.1
  • 16
    • 0001245311 scopus 로고
    • Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces
    • Zograf, P. G.: Liouville action on moduli spaces and uniformization of degenerate Riemann surfaces, Leningrad. Math. J. 1(4) (1990), 941-965.
    • (1990) Leningrad. Math. J. , vol.1 , Issue.4 , pp. 941-965
    • Zograf, P.G.1
  • 17
    • 77954907755 scopus 로고
    • On the Liouville equation, accessory parameters and the geometry of Teichmüller space for Riemann surfaces of genus 0
    • Zograf, P. G. and Takhtajan, L. A.: On the Liouville equation, accessory parameters and the geometry of Teichmüller space for Riemann surfaces of genus 0, Math. USSR-Sb. 60(1) (1988), 143-161.
    • (1988) Math. USSR-Sb. , vol.60 , Issue.1 , pp. 143-161
    • Zograf, P.G.1    Takhtajan, L.A.2
  • 18
    • 77954942988 scopus 로고
    • On the uniformization of Riemann surfaces and on the Weil-Petersson metric on the Teichmüller and Schottky spaces
    • Zograf, P. G. and Takhtajan, L. A.: On the uniformization of Riemann surfaces and on the Weil-Petersson metric on the Teichmüller and Schottky spaces, Math. USSR-Sb. 60(2) (1988), 297-313.
    • (1988) Math. USSR-Sb. , vol.60 , Issue.2 , pp. 297-313
    • Zograf, P.G.1    Takhtajan, L.A.2
  • 19
    • 3543091674 scopus 로고
    • Potential of the Weil-Peterson metric on Torelli space
    • Zograf P. G. and Takhtajan, L. A.: Potential of the Weil-Peterson metric on Torelli space, J. Soviet. Math. 52 (1990), 3077-3085.
    • (1990) J. Soviet. Math. , vol.52 , pp. 3077-3085
    • Zograf, P.G.1    Takhtajan, L.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.