Hecke curves and Hitchin discriminant
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 5, pp. 801-817.
DOI : 10.1016/j.ansens.2004.07.001
Hwang, Jun-Muk 1 ; Ramanan, S. 

1 Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Séoul 130-012 (Corée Sud)
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Hwang, Jun-Muk; Ramanan, S. Hecke curves and Hitchin discriminant. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 37 (2004) no. 5, pp. 801-817. doi : 10.1016/j.ansens.2004.07.001. https://www.numdam.org/articles/10.1016/j.ansens.2004.07.001/

[1] Andreotti A., On a theorem of Torelli, Amer. J. Math. 80 (1958) 801-828. | MR | Zbl

[2] Beauville A., Narasimhan M.S., Ramanan S., Spectral curves and the generalized theta divisor, J. Reine Angew. Math. 398 (1989) 169-179. | MR | Zbl

[3] Hitchin N.J., Stable bundles and integrable systems, Duke Math. J. 54 (1987) 91-114. | MR | Zbl

[4] Hwang J.-M., Mok N., Projective manifolds dominated by abelian varieties, Math. Z. 238 (2001) 89-100. | MR | Zbl

[5] Hwang J.-M., Mok N., Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles, J. Algebraic Geom. 12 (2003) 627-651. | MR | Zbl

[6] Hwang J.-M., Mok N., Birationality of the tangent map for minimal rational curves, Asian J. Math. 8 (2004) 51-64, (Special issue dedicated to Y.-T. Siu on his 60th birthday). | MR | Zbl

[7] Hwang J.-M., Tangent vectors to Hecke curves on the moduli space of rank 2 bundles over an algebraic curve, Duke Math. J. 101 (2000) 179-187. | MR | Zbl

[8] Hwang J.-M., Geometry of minimal rational curves on Fano manifolds, in: School on Vanishing Theorems and Effective Results in Algebraic Geometry (Trieste, 2000), Abdus Salam Int. Cent. Theoret. Phys., Trieste, ICTP Lect. Notes, vol. 6, 2001, pp. 335-393. | MR | Zbl

[9] Hwang J.-M., Hecke curves on the moduli space of vector bundles over an algebraic curve, in: Algebraic Geometry in East Asia (Kyoto, 2001), World Scientific, 2002, pp. 155-164. | MR | Zbl

[10] Kouvidakis A., Pantev T., The automorphism group of the moduli space of semi-stable bundles, Math. Annalen 302 (1995) 225-268. | MR | Zbl

[11] Laumon G., Un analogue global du cône nilpotent, Duke Math. J. 57 (1988) 647-671. | MR | Zbl

[12] Narasimhan M.S., Ramanan S., Deformations of the moduli space of vector bundles over an algebraic curve, Ann. Math. 101 (1975) 391-417. | MR | Zbl

[13] Narasimhan M.S., Ramanan S., Geometry of Hecke cycles I, in: C.P. Ramanujam - a Tribute, Springer-Verlag, 1978, pp. 291-345. | MR | Zbl

  • Mustopa, Yusuf; Teixidor i Bigas, Montserrat Rational curves on moduli spaces of vector bundles, International Journal of Mathematics, Volume 36 (2025) no. 03 | DOI:10.1142/s0129167x24500800
  • Alfaya, David; Biswas, Indranil; Gómez, Tomás L.; Mukhopadhyay, Swarnava Torelli theorem for moduli stacks of vector bundles and principal G-bundles, Journal of Geometry and Physics, Volume 207 (2025), p. 105350 | DOI:10.1016/j.geomphys.2024.105350
  • Choe, Insong; H. Hitching, George; Hong, Jaehyun Simplicity of Tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve, Comptes Rendus. Mathématique, Volume 362 (2024) no. G5, p. 493 | DOI:10.5802/crmath.560
  • Antón-Sancho, Álvaro A construction of Shatz strata in the polystable G2-bundles moduli space using Hecke curves, Electronic Research Archive, Volume 32 (2024) no. 11, p. 6109 | DOI:10.3934/era.2024283
  • Benedetti, Vladimiro; Bolognesi, Michele; Faenzi, Daniele; Manivel, Laurent The Coble quadric, Forum of Mathematics, Sigma, Volume 12 (2024) | DOI:10.1017/fms.2024.52
  • Fringuelli, Roberto Automorphisms of moduli spaces of principal bundles over a smooth curve, International Journal of Mathematics, Volume 35 (2024) no. 10 | DOI:10.1142/s0129167x24500368
  • Fu, Baohua; Liu, Jie NORMALISED TANGENT BUNDLE, VARIETIES WITH SMALL CODEGREE AND PSEUDOEFFECTIVE THRESHOLD, Journal of the Institute of Mathematics of Jussieu, Volume 23 (2024) no. 1, p. 149 | DOI:10.1017/s1474748022000366
  • KIM, HOSUNG; KIM, JEONG-SEOP; LEE, YONGNAM BIGNESS OF THE TANGENT BUNDLE OF A FANO THREEFOLD WITH PICARD NUMBER TWO, Nagoya Mathematical Journal (2024), p. 1 | DOI:10.1017/nmj.2024.24
  • Antón-Sancho, Álvaro Fixed points of principal E 6 -bundles over a compact algebraic curve, Quaestiones Mathematicae, Volume 47 (2024) no. 3, p. 501 | DOI:10.2989/16073606.2023.2229559
  • Kim, Jeong-Seop Bigness of the tangent bundles of projective bundles over curves, Comptes Rendus. Mathématique, Volume 361 (2023) no. G7, p. 1115 | DOI:10.5802/crmath.476
  • Moreno-Mejía, Israel; Silva-López, Dan The Verlinde traces for SUX(2,ξ) and blow-ups, Journal of Fixed Point Theory and Applications, Volume 25 (2023) no. 2 | DOI:10.1007/s11784-023-01046-y
  • Alfaya, David Automorphism group of the moduli space of parabolic vector bundles with fixed degree, Bulletin des Sciences Mathématiques, Volume 175 (2022), p. 103112 | DOI:10.1016/j.bulsci.2022.103112
  • Horn, Johannes Semi-abelian Spectral Data for Singular Fibres of the 𝖲𝖫(2,ℂ)-Hitchin System, International Mathematics Research Notices, Volume 2022 (2022) no. 5, p. 3860 | DOI:10.1093/imrn/rnaa273
  • Choe, Insong; Chung, Kiryong; Lee, Sanghyeon Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles, Journal of the London Mathematical Society, Volume 105 (2022) no. 1, p. 543 | DOI:10.1112/jlms.12527
  • Fassarella, Thiago; Justo, Luana A Torelli theorem for moduli spaces of parabolic vector bundles over an elliptic curve, Proceedings of the American Mathematical Society (2022) | DOI:10.1090/proc/15937
  • Franco, Emilio; Gothen, Peter B.; Oliveira, André; Peón-Nieto, Ana Unramified covers and branes on the Hitchin system, Advances in Mathematics, Volume 377 (2021), p. 107493 | DOI:10.1016/j.aim.2020.107493
  • Alfaya, David; Gómez, Tomás L. Automorphism group of the moduli space of parabolic bundles over a curve, Advances in Mathematics, Volume 393 (2021), p. 108070 | DOI:10.1016/j.aim.2021.108070
  • Hitching, George H.; Hoff, Michael; Newstead, Peter E. Nonemptiness and smoothness of twisted Brill–Noether loci, Annali di Matematica Pura ed Applicata (1923 -), Volume 200 (2021) no. 2, p. 685 | DOI:10.1007/s10231-020-01009-x
  • Hitching, George H. A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci, Bulletin of the London Mathematical Society, Volume 52 (2020) no. 4, p. 620 | DOI:10.1112/blms.12354
  • Hitchin, Nigel Critical Loci for Higgs Bundles, Communications in Mathematical Physics, Volume 366 (2019) no. 2, p. 841 | DOI:10.1007/s00220-019-03336-4
  • Baraglia, D. Classification of the automorphism and isometry groups of Higgs bundle moduli spaces, Proceedings of the London Mathematical Society, Volume 112 (2016) no. 5, p. 827 | DOI:10.1112/plms/pdw014
  • Occhetta, Gianluca; Solá Conde, Luis E.; Watanabe, Kiwamu Uniform families of minimal rational curves on Fano manifolds, Revista Matemática Complutense, Volume 29 (2016) no. 2, p. 423 | DOI:10.1007/s13163-015-0183-9
  • Hitching, George H.; Pauly, Christian Theta divisors of stable vector bundles may be nonreduced, Geometriae Dedicata, Volume 177 (2015) no. 1, p. 257 | DOI:10.1007/s10711-014-9988-9
  • Biswas, Indranil; Gómez, Tomás L.; Muñoz, Vicente Automorphisms of moduli spaces of vector bundles over a curve, Expositiones Mathematicae, Volume 31 (2013) no. 1, p. 73 | DOI:10.1016/j.exmath.2012.08.002
  • Zhou, Mingshuo Rational curves and lines on the moduli space of stable bundles, arXiv (2013) | DOI:10.48550/arxiv.1305.3394 | arXiv:1305.3394
  • BISWAS, INDRANIL; GÓMEZ, TOMAS L.; MUÑOZ, VICENTE AUTOMORPHISMS OF MODULI SPACES OF SYMPLECTIC BUNDLES, International Journal of Mathematics, Volume 23 (2012) no. 05, p. 1250052 | DOI:10.1142/s0129167x12500528
  • CHOE, INSONG; HITCHING, GEORGE H. Lagrangian subbundles of symplectic bundles over a curve, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 153 (2012) no. 2, p. 193 | DOI:10.1017/s0305004112000096
  • Hwang, Jun-Muk Unobstructedness of deformations of holomorphic maps onto Fano manifolds of Picard number 1, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2009 (2009) no. 637 | DOI:10.1515/crelle.2009.095
  • Hwang, Jun-Muk Base manifolds for fibrations of projective irreducible symplectic manifolds, Inventiones mathematicae, Volume 174 (2008) no. 3, p. 625 | DOI:10.1007/s00222-008-0143-9
  • Nguyen, Quang Minh The moduli space of rank-3 vector bundles with trivial determinant over a curve of genus 2 and duality, arXiv (2004) | DOI:10.48550/arxiv.math/0408318 | arXiv:math/0408318

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