Academic literature on the topic 'Essencially isolated determinantal singularity'

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Journal articles on the topic "Essencially isolated determinantal singularity"

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Nuño-Ballesteros, J. J., B. Oréfice-Okamoto, and J. N. Tomazella. "The vanishing Euler characteristic of an isolated determinantal singularity." Israel Journal of Mathematics 197, no. 1 (2013): 475–95. http://dx.doi.org/10.1007/s11856-012-0188-8.

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Brasselet, Jean-Paul, Nancy Chachapoyas, and Maria A. S. Ruas. "Generic sections of essentially isolated determinantal singularities." International Journal of Mathematics 28, no. 11 (2017): 1750083. http://dx.doi.org/10.1142/s0129167x17500835.

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We study the essentially isolated determinantal singularities (EIDS), defined by Ebeling and Gusein-Zade [S. M. Guseĭn-Zade and W. Èbeling, On the indices of 1-forms on determinantal singularities, Tr. Mat. Inst. Steklova 267 (2009) 119–131], as a generalization of isolated singularity. We prove in dimension [Formula: see text], a minimality theorem for the Milnor number of a generic hyperplane section of an EIDS, generalizing the previous results by Snoussi in dimension [Formula: see text]. We define strongly generic hyperplane sections of an EIDS and show that they are still EIDS. Using stro
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Nuño-Ballesteros, J. J., B. Oréfice-Okamoto, and J. N. Tomazella. "Erratum to “The Vanishing Euler Characteristic of an Isolated Determinantal Singularity”." Israel Journal of Mathematics 224, no. 1 (2018): 505–12. http://dx.doi.org/10.1007/s11856-018-1664-6.

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Dissertations / Theses on the topic "Essencially isolated determinantal singularity"

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Chachapoyas, siesquen Nancy carolina. "Invariants des variétes déterminantales." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4100.

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Dans ce travail nous étudions les variétés determinantales essentiellement isolées (EIDS). Ce type de singularité est une généralization de la notion de singularité isolée. La variété determinantale générique $M_{m,n}^t$ est un sous-ensemble des matrices, mxn, tels que le rang est inférieur que t, où t≤m≤n. Une variété X est determinantal si X est définie comme la pré-image d'une fonction holomorphe, $F:\mathbb{C}^N \to M$, sur la variété determinantale générique avec la condition $codim X=codim M_{m,n}^t$.Certains travaux précédents ont étudié les variétés determinantales avec singularité iso
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Ament, Daiane Alice Henrique. "Invariantes de germes de aplicações." Universidade Federal de São Carlos, 2017. https://repositorio.ufscar.br/handle/ufscar/8976.

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