논문KCI 등재
Geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We describe the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one and its geometric structures in terms of the Hitchin map and a flat degeneration of the moduli space of Higgs bundles on an elliptic curve.
Abstract
We describe the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one and its geometric structures in terms of the Hitchin map and a flat degeneration of the moduli space of Higgs bundles on an elliptic curve.
참고문헌 (19)
- E. Arbarello, "Geometry of Algebraic Curves" (2011), Springer-Verlag
- M. F. Atiyah, "Vector bundles over an elliptic curve", Proc. London Math. Soc. (3), 7(1), pp.414~452 (1957)[DOI]
- V. Balaji, "A degeneration of moduli of Hitchin pairs", Int. Math. Res. Not, 2016(21), pp.6581~6625 (2016)[DOI]
- S. Basu, "A Torelli type theorem for nodal curves", Internat. J. Math, 32(7), pp.23~ (2021)[DOI]
- U. N. Bhosle, "Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves", Ark. Mat, 30(1-2), pp.187~215 (1992)[DOI]
- U. N. Bhosle, "Generalized parabolic Hitchin pairs", J. Lond. Math. Soc. (2), 89(1), pp.1~23 (2014)[DOI]
- U. N. Bhosle, "Torsionfree sheaves over a nodal curve of arithmetic genus one", Proc. Indian Acad. Sci. Math. Sci, 118(1), pp.81~98 (2008)[DOI]
- E. Franco, "Higgs bundles over elliptic curves", Illinois J. Math, 58(1), pp.43~96 (2014)
- D. Gieseker, "A degeneration of the moduli space of stable bundles", J. Differential Geom, 19(1), pp.173~206 (1984)
- R. Hartshorne, "Algebraic Geometry" (1977), Springer-Verlag
- T. Hausel, "Mirror symmetry, Langlands duality, and the Hitchin system", Invent. Math, 153(1), pp.197~229 (2003)[DOI]
- D. Huybrechts, "The geometry of moduli spaces of sheaves", Aspects of Mathematics, E31 (1997)
- D. S. Nagaraj, "Degenerations of the moduli spaces of vector bundles on curves. II. Generalized Gieseker moduli spaces", Proc. Indian Acad. Sci. Math. Sci, 109(2), pp.165~201 (1999)[DOI]
- N. Nitsure, "Moduli space of semistable pairs on a curve", Proc. London Math. Soc. (3), 62(2), pp.275~300 (1991)[DOI]
- C. S. Seshadri, "Fibr´es vectoriels sur les courbes alg´ebriques", Ast´erisque, 96 (1982)
- C. T. Simpson, "Moduli of representations of the fundamental group of a smooth projective variety. I", Publ. Math. Inst. Hautes ´Etudes Sci, (79), pp.47~129 (1994)
- X. Sun, "Degeneration of moduli spaces and generalized theta functions", J. Algebraic Geom, 9(3), pp.459~527 (2000)
- M. Thaddeus, "Mirror symmetry, Langlands duality, and commuting elements of Lie groups", Int. Math. Res. Not, 2001(22), pp.1169~1193 (2001)[DOI]
- L. W. Tu, "Semistable bundles over an elliptic curve", Adv. Math, 98(1), pp.1~26 (1993)[DOI]
관련 논문AI추천
Deformation of Locally Free Sheaves and Hitchin Pairs over Nodal curveHao Sun대한수학회 · 대한수학회지2020 · 제57권 제4호Loci of rational curves of small degree on the moduli space of vector bundles최인송대한수학회 · 대한수학회보2011 · 제48권 제2호A construction of wobbly divisors of nilpotency index greater than 2최인송, George H. Hitching대한수학회 · 대한수학회논문집2025 · 제40권 제1호Normal generation of nonspecial line bundles on algebraic curves김선자, 김영록대한수학회 · 대한수학회보2011 · 제48권 제1호Comparison of two desingularizations of the moduli space of elliptic stable maps노현호대한수학회 · 대한수학회지2021 · 제58권 제2호Connections on real parabolic bundles over a real curveSanjay Amrutiya대한수학회 · 대한수학회보2014 · 제51권 제4호
이 간행물의 다른 논문 (9건)
Periodic surface homeomorphisms and contact structuresKashyap Rajeevsarathy, Kuldeep Saha, Dheeraj Kulkarnipp. 1-28Gorenstein $FP_{n}$-injective modules with respect to a semidualizing bimoduleZhiqiang Cheng, Guoqiang Zhaopp. 29-40Rigidity and nonexistence of Riemannian immersions in semi-Riemannian warped products via parabolicityMarcio S. Santos, Henrique F. de Lima, Railane Antoniapp. 41-63Stable automorphic forms for the general linear group양재현pp. 65-90Average entropy and asymptoticsManimugdha Saikia, Tatyana Barronpp. 91-107
