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Castorena, A., Martin, A. & Teixidor i Bigas, M. (2018). Petri map for vector bundles near good bundles. Journal of Pure and Applied Algebra. 222 (7), 1692-1703
A. Castorena et al., "Petri map for vector bundles near good bundles", in Journal of Pure and Applied Algebra, vol. 222, no. 7, pp. 1692-1703, 2018
@article{castorena2018_1766250017695,
author = "Castorena, A. and Martin, A. and Teixidor i Bigas, M.",
title = "Petri map for vector bundles near good bundles",
journal = "Journal of Pure and Applied Algebra",
year = "2018",
volume = "222",
number = "7",
doi = "10.1016/j.jpaa.2017.07.018",
pages = "1692-1703",
url = "https://www.sciencedirect.com/science/article/pii/S0022404917301688?via%3Dihub"
}
TY - JOUR TI - Petri map for vector bundles near good bundles T2 - Journal of Pure and Applied Algebra VL - 222 IS - 7 AU - Castorena, A. AU - Martin, A. AU - Teixidor i Bigas, M. PY - 2018 SP - 1692-1703 SN - 0022-4049 DO - 10.1016/j.jpaa.2017.07.018 UR - https://www.sciencedirect.com/science/article/pii/S0022404917301688?via%3Dihub AB - Let C be a projective nonsingular curve of genus g and let B-r,d(k) be the locus of stable rank r degree d vector bundles with at least k linearly independent sections on C. It is known that when C is general and under certain conditions on g, d, r, and k, there exists a component B of B-r,d(k) of the expected dimension. In this paper we show that for a general vector bundle E of B, the Petri map is injective ER -
English