Nous construisons un fibré de Ulrich sur l'éclatée d'une variété dans un point, dans le cas où la variété d'origine est plongée dans un système linéaire suffisamment positif et admet un fibré de Ulrich. En particulier, nous décrivons la relation entre l'existence des fibrés spéciaux de Ulrich sur une surface éclatée et sur la surface d'origine.
We construct an Ulrich bundle on the blowup at a point where the original variety is embedded by a sufficiently positive linear system and carries an Ulrich bundle. In particular, we describe the relation between special Ulrich bundles on blown-up surfaces and the original surface.
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@article{CRMATH_2016__354_12_1215_0, author = {Kim, Yeongrak}, title = {Ulrich bundles on blowing ups}, journal = {Comptes Rendus. Math\'ematique}, pages = {1215--1218}, publisher = {Elsevier}, volume = {354}, number = {12}, year = {2016}, doi = {10.1016/j.crma.2016.10.022}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.10.022/} }
TY - JOUR AU - Kim, Yeongrak TI - Ulrich bundles on blowing ups JO - Comptes Rendus. Mathématique PY - 2016 SP - 1215 EP - 1218 VL - 354 IS - 12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.10.022/ DO - 10.1016/j.crma.2016.10.022 LA - en ID - CRMATH_2016__354_12_1215_0 ER -
Kim, Yeongrak. Ulrich bundles on blowing ups. Comptes Rendus. Mathématique, Tome 354 (2016) no. 12, pp. 1215-1218. doi : 10.1016/j.crma.2016.10.022. http://archive.numdam.org/articles/10.1016/j.crma.2016.10.022/
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