Exceptional complete intersection maps of local rings

نویسندگان

چکیده

This work concerns surjective maps $\varphi\colon R\to S$ of commutative noetherian local rings with kernel generated by a regular sequence that is part minimal generating set for the maximal ideal $R$. The main result provides criteria detecting such exceptional complete intersection in terms lattices thick subcategories derived category complexes finite length homology. A key input characterization truncated Atiyah class $\varphi$.

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 2022

ISSN: ['1945-5844', '0030-8730']

DOI: https://doi.org/10.2140/pjm.2022.318.275