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Volumn , Issue 599, 2006, Pages 61-96

The analogue of the Dedekind eta function for CY manifolds I

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EID: 33845415134     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/CRELLE.2006.078     Document Type: Article
Times cited : (1)

References (34)
  • 3
    • 0011625532 scopus 로고
    • Kodaira-spencer theory of gravity and exact results for quantum string amplitude
    • M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitude, Comm. Math. Phys. 165 (1994), 311-428.
    • (1994) Comm. Math. Phys. , vol.165 , pp. 311-428
    • Bershadsky, M.1    Cecotti, S.2    Ooguri, H.3    Vafa, C.4
  • 4
    • 0000965396 scopus 로고
    • Extremal kähler metrics, seminar on differential geometry
    • S.-T. Yau, ed., Princeton University Press
    • E. Calabi, Extremal Kähler Metrics, Seminar on Differential Geometry, S.-T. Yau, ed., Ann. Math. Stud. 102, Princeton University Press, 1982.
    • (1982) Ann. Math. Stud. , vol.102
    • Calabi, E.1
  • 5
    • 84972555858 scopus 로고
    • Infinite determinants, stable bundles and curvature
    • S. Donaldson, Infinite Determinants, Stable Bundles and Curvature, Duke Math. J. 54, no 1 (1987), 231-248.
    • (1987) Duke Math. J. , vol.54 , Issue.1 , pp. 231-248
    • Donaldson, S.1
  • 6
    • 0003212222 scopus 로고
    • The geometry of four manifolds
    • Oxford Science Publications, Oxford University Press, New York
    • S. Donaldson and P. Kronheimer, The Geometry of Four Manifolds, Oxford Mat. Monog., Oxford Science Publications, Oxford University Press, New York 1990.
    • (1990) Oxford Mat. Monog.
    • Donaldson, S.1    Kronheimer, P.2
  • 8
    • 0003325685 scopus 로고
    • Invariance theory, the heat equation, and the atiyah-singer index theorem
    • Publish or Perish, Inc. Wilmington, Delaware (USA)
    • P. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, Math. Lect. Ser. 11, Publish or Perish, Inc. Wilmington, Delaware (USA) 1984.
    • (1984) Math. Lect. Ser. , vol.11
    • Gilkey, P.1
  • 9
    • 0000954867 scopus 로고
    • Periods of integrals on algebraic manifolds I and II
    • 805-865
    • Ph. Griffiths, Periods of Integrals on Algebraic Manifolds I and II, Amer. J. Math. 90 (1968), 568-626 and 805-865.
    • (1968) Amer. J. Math. , vol.90 , pp. 568-626
    • Griffiths, Ph.1
  • 11
    • 0003274751 scopus 로고
    • Éléments de géométrie algébrique
    • IHES
    • A. Grothendieck, Éléments de Géométrie Algébrique, IHES, Publ. Math. 8 (1961).
    • (1961) Publ. Math. , vol.8
    • Grothendieck, A.1
  • 13
    • 0030600825 scopus 로고    scopus 로고
    • Algebras, BPS states, and strings
    • J. Harvey and G. Moore, Algebras, BPS States, and Strings, Nucl. Phys. B 463 (1996), 315-368.
    • (1996) Nucl. Phys. B , vol.463 , pp. 315-368
    • Harvey, J.1    Moore, G.2
  • 15
    • 0000584824 scopus 로고
    • A conjectural analogue of dedekind eta function for K3 surfaces
    • J. Jorgenson and A. Todorov, A Conjectural Analogue of Dedekind Eta Function for K3 Surfaces, Math. Res. Lett. 2 (1995), 359-360.
    • (1995) Math. Res. Lett. , vol.2 , pp. 359-360
    • Jorgenson, J.1    Todorov, A.2
  • 16
    • 0040554198 scopus 로고    scopus 로고
    • Analytic discriminant for manifolds with zero canonical class, manifolds and geometry
    • P. de Bartolomeis, F. Tircerri and E. Vesantini, eds.
    • J. Jorgenson and A. Todorov, Analytic Discriminant for Manifolds with Zero Canonical Class, Manifolds and Geometry, P. de Bartolomeis, F. Tircerri and E. Vesantini, eds., Symp. Math. 36 (1996), 223-260.
    • (1996) Symp. Math. , vol.36 , pp. 223-260
    • Jorgenson, J.1    Todorov, A.2
  • 17
    • 33845425198 scopus 로고    scopus 로고
    • Ample divisors, automorphic forms and shafarevich's conjecture
    • S.-T. Yau and Phong, eds., AMS
    • J. Jorgenson and A. Todorov, Ample Divisors, Automorphic Forms and Shafarevich's Conjecture, Mirror Symmetry IV, S.-T. Yau and Phong, eds., AMS, 2002.
    • (2002) Mirror Symmetry IV
    • Jorgenson, J.1    Todorov, A.2
  • 18
    • 13544267819 scopus 로고    scopus 로고
    • Analytic discriminant for polarized algebraic K3 surfaces
    • S.-T. Yau and Phong, eds., AMS
    • J. Joryenson and A. Todorov, Analytic Discriminant for Polarized Algebraic K3 Surfaces, Mirror Symmetry III, S.-T. Yau and Phong, eds., AMS (1999), 211-261.
    • (1999) Mirror Symmetry III , pp. 211-261
    • Joryenson, J.1    Todorov, A.2
  • 19
    • 0031996219 scopus 로고    scopus 로고
    • Enriques surfaces, analytic discriminants, and borcherd's φ function
    • J. Jorgenson and A. Todorov, Enriques Surfaces, Analytic Discriminants, and Borcherd's φ Function, Com. Math. Phys. 191 (1998), 249-264.
    • (1998) Com. Math. Phys. , vol.191 , pp. 249-264
    • Jorgenson, J.1    Todorov, A.2
  • 20
    • 84860054622 scopus 로고    scopus 로고
    • Correction to enriques surfaces analytic discriminants, and borcherd's φ function
    • J. Jorgenson and A. Todorov, Correction to Enriques Surfaces Analytic Discriminants, and Borcherd's φ Function, Com. Math. Phys. (1999).
    • (1999) Com. Math. Phys.
    • Jorgenson, J.1    Todorov, A.2
  • 22
    • 13544249944 scopus 로고    scopus 로고
    • Maximal unipotent monodromy for complete interesction CY manifolds
    • B. Lian, A. Todorov and Shing-Tung Yau, Maximal Unipotent Monodromy for Complete Interesction CY Manifolds, Amer. J. Math. 127 (2005), 1-50.
    • (2005) Amer. J. Math. , vol.127 , pp. 1-50
    • Lian, B.1    Todorov, A.2    Yau, S.-T.3
  • 23
    • 33845411697 scopus 로고    scopus 로고
    • The analogue of shafarevich conjecture for CY manifolds I
    • K. Liu, A. Todorov, Shing-Tung Yau and K. Zuo, The Analogue of Shafarevich Conjecture for CY Manifolds I, Quart. J. Pure Appl. Math. 1, no 1 (2005), 28-67.
    • (2005) Quart. J. Pure Appl. Math. , vol.1 , Issue.1 , pp. 28-67
    • Liu, K.1    Todorov, A.2    Yau, S.-T.3    Zuo, K.4
  • 24
    • 0141459095 scopus 로고    scopus 로고
    • On the curvature tensor of the hodge metric of moduli of polarized calabi-yau threefolds
    • Z. Lu, On the Curvature Tensor of the Hodge Metric of Moduli of Polarized Calabi-Yau Threefolds, J. Geom. Anal. 11 (2001), no 4, 633-645.
    • (2001) J. Geom. Anal. , vol.11 , Issue.4 , pp. 633-645
    • Lu, Z.1
  • 27
    • 0000442759 scopus 로고
    • Hirzebruch's proportionality principle in the non-compact case
    • D. Mumford, Hirzebruch's Proportionality Principle in the Non-Compact Case, Inv. Math. 42 (1977), 239-272.
    • (1977) Inv. Math. , vol.42 , pp. 239-272
    • Mumford, D.1
  • 28
    • 0000815498 scopus 로고
    • Analytic torsion for complex manifolds
    • D. Ray and I. Singer, Analytic Torsion for Complex Manifolds, Ann. Math. 98 (1973), 154-177.
    • (1973) Ann. Math. , vol.98 , pp. 154-177
    • Ray, D.1    Singer, I.2
  • 29
    • 0003350503 scopus 로고
    • Elliptic operators, topology and asymptotic methods
    • Longman Scientific & Technical
    • J. Roe, Elliptic Operators, Topology and Asymptotic Methods, Pitman Res. Notes Math. Ser. 179, Longman Scientific & Technical, 1988.
    • (1988) Pitman Res. Notes Math. Ser. , vol.179
    • Roe, J.1
  • 30
    • 51649170201 scopus 로고
    • Infinitesimal computations in topology
    • D. Sullivan, Infinitesimal Computations in Topology, Publ. Math. IHES 47 (1977), 269-331.
    • (1977) Publ. Math. IHES , vol.47 , pp. 269-331
    • Sullivan, D.1
  • 31
    • 0000585556 scopus 로고    scopus 로고
    • Smoothness of the universal deformation space of calabi-yau manifolds and Its petersson-weil metric
    • S.-T. Yau, ed., World Scientific
    • G. Tian, Smoothness of the Universal Deformation Space of Calabi-Yau Manifolds and its Petersson-Weil Metric, Math. Aspects of String Theory, S.-T. Yau, ed., World Scientific (1998), 629-346.
    • (1998) Math. Aspects of String Theory , pp. 629-1346
    • Tian, G.1
  • 32
    • 0001261571 scopus 로고
    • The weil-petersson geometry of moduli spaces of SU (n ≧ 3) (calabi-yau manifolds) I
    • A. Todorov, The Weil-Petersson Geometry of Moduli Spaces of SU (n ≧ 3) (Calabi-Yau Manifolds) I, Comm. Math. Phys. 126 (1989), 325-346.
    • (1989) Comm. Math. Phys. , vol.126 , pp. 325-346
    • Todorov, A.1
  • 34
    • 84980156699 scopus 로고
    • On the ricci curvature of compact kähler manifolds and complex monge-ampère equation i
    • S. T. Yau, On the Ricci Curvature of Compact Kähler Manifolds and Complex Monge-Ampère Equation I, Comm. Pure Appl. Math. 31 (1979), 339-411.
    • (1979) Comm. Pure Appl. Math. , vol.31 , pp. 339-411
    • Yau, S.T.1


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