PreprintCC BY 4.0arXiv
Euler obstructions and Verdier specializations
Abstract
To establish a basis of the sheaf theoretical study of the Milnor fibers and monodromies of complete intersection varieties, we clarify the structures of the Verdier specialization sheaves associated to them. Assuming the Thom condition in a direction, some basic results on them will be obtained. Then we apply them to obtain formulas for the Euler obstructions of complete intersection varieties having non-isolated singular points.
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BibTeX
@misc{fernandes2026euler,
title = {{Euler obstructions and Verdier specializations}},
author = {Ren Fernandes and Kiyoshi Takeuchi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01020},
eprint = {2609.01020},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01020},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Euler obstructions and Verdier specializations
AU - Ren Fernandes
AU - Kiyoshi Takeuchi
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01020
UR - https://arxiv.org/abs/2609.01020
AB - To establish a basis of the sheaf theoretical study of the Milnor fibers and monodromies of complete intersection varieties, we clarify the structures of the Verdier specialization sheaves associated to them. Assuming the Thom condition in a direction, some basic results on them will be obtained. Then we apply them to obtain formulas for the Euler obstructions of complete intersection varieties having non-isolated singular points.
ER -