"Verlinde formula in algebraic geometry"의 두 판 사이의 차이
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* Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33. | * Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33. | ||
* Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374. | * Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374. | ||
| + | * Thaddeus, Michael. ‘Stable Pairs, Linear Systems and the Verlinde Formula’. Inventiones Mathematicae 117, no. 1 (1 December 1994): 317–53. doi:10.1007/BF01232244. | ||
2015년 4월 22일 (수) 18:23 판
introduction
- Verlinde formula expresses the dimension of the space of global sections of the determinant line bundles (and its multiples) on the moduli space of vector bundles with fixed rank and determinant
expositions
- Beauville, Arnaud. ‘Vector Bundles on Curves and Theta Functions’. arXiv:math/0502179, 9 February 2005. http://arxiv.org/abs/math/0502179.
- Szenes, Andras. ‘The Combinatorics of the Verlinde Formulas’. arXiv:alg-geom/9402003, 3 February 1994. http://arxiv.org/abs/alg-geom/9402003.
articles
- Beauville, Arnaud. 1996. “Conformal Blocks, Fusion Rules and the Verlinde Formula.” In Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), 9:75–96. Israel Math. Conf. Proc. Ramat Gan: Bar-Ilan Univ. http://www.ams.org/mathscinet-getitem?mr=1360497.
- Beauville, Arnaud. ‘Vector Bundles on Curves and Generalized Theta Functions: Recent Results and Open Problems’, 1995, 17–33.
- Faltings, Gerd. 1994. “A Proof for the Verlinde Formula.” Journal of Algebraic Geometry 3 (2): 347–374.
- Thaddeus, Michael. ‘Stable Pairs, Linear Systems and the Verlinde Formula’. Inventiones Mathematicae 117, no. 1 (1 December 1994): 317–53. doi:10.1007/BF01232244.