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ON HODGE STRUCTURES OF QUASITORIC ORBIFOLDS

Saibal Ganguli
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회지 (Journal of the KMS)|제54권 제3호|pp. 733-748

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참고문헌

키워드

Hodge structuresorbifoldquasitoricprojective toric
주제분류수학

초록

We give Hodge structures on quasitoric orbifolds. We define orbifold Hodge numbers and show a correspondence of orbifold Hodge numbers for crepant resolutions of quasitoric orbifolds. In short we extend Hodge structures to a non almost complex setting.

Abstract

We give Hodge structures on quasitoric orbifolds. We define orbifold Hodge numbers and show a correspondence of orbifold Hodge numbers for crepant resolutions of quasitoric orbifolds. In short we extend Hodge structures to a non almost complex setting.

참고문헌 (18)

  1. W. L. Baily, Jr., "The decomposition theorem for V-manifolds", Amer. J. Math, 78(4), pp.862~888 (1956)
  2. V. V. Batyrev, "Strong McKay correspondence, string-theoretic Hodge numbers and mirror symmetry", Topology, 35(4), pp.901~929 (1996)
  3. V. M. Buchstaber, "Torus actions and their applications in topology and combinatorics" (2002), American Mathematical Society
  4. W. Chen, "A new cohomology theory of orbifold", Comm. Math. Phys, 248(1), pp.1~31 (2004)
  5. C.-H. Cho, "Holomorphic orbidiscs and Lagrangian Floer cohomology of symplectic toric orbifolds", J. Differential Geom, 98(1), pp.21~116 (2014)
  6. M. W. Davis, "Convex polytopes, Coxeter orbifolds and torus ac-tions", Duke Math. J, 62(2), pp.417~451 (1991)
  7. S. Ganguli, "Mckay corespondence in quasitoric orbifolds", arXiv:1308.3949, ~
  8. S. Ganguli, "Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds", Osaka J. Math, 50(2), pp.397~415 (2013)
  9. S. Ganguli, "Almost complex structure, blowdowns and McKay correspondence in quasitoric orbifolds", Osaka J. Math, 50(4), pp.977~1005 (2013)
  10. E. Lerman, "Hamiltonian torus actions on symplectic orbifolds and toric varieties", Trans. Amer. Math. Soc, 349(10), pp.4201~4230 (1997)
  11. E. Lupercio, "The global McKay-Ruan correspondence via motivic inte-gration", Bull. London Math. Soc, 36(4), pp.509~515 (2004)
  12. C. Peters, "Mixed Hodge Structures" (2008), Springer
  13. M. Poddar, "Orbifolds in Mathematics and Physics", pp.223~231 (2002), Amer. Math. Soc
  14. M. Poddar, "Orbifold Hodge numbers of Calabi-Yau hypersurfaces", arxiv:01071552v, ~
  15. M. Poddar, "On quasitoric orbifolds", Osaka J. Math, 47(4), pp.1055~1076 (2010)
  16. T. Yasuda, "Twisted jets, motivic measures and orbifold cohomology", Compos. Math, 140(2), pp.396~422 (2004)
  17. T. Yasuda, "Motivic integration over Deligne-Mumford stacks", Adv. Math, 207(2), pp.707~761 (2006)
  18. E. Zaslow, "Topological orbifold models and quantum cohomology rings", Comm. Math. Phys, 156(2), pp.301~331 (1993)

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