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arXiv · 2005.03250

Cohomological dimension of ideals defining Veronese subrings

Vaibhav Pandey
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Abstract

Given a standard graded polynomial ring over a commutative Noetherian ring $A$, we prove that the cohomological dimension and the height of the ideals defining any of its Veronese subrings are equal. This result is due to Ogus when $A$ is a field of characteristic zero, and follows from a result of Peskine and Szpiro when $A$ is a field of positive characteristic; our result applies, for example, when $A$ is the ring of integers.

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Vaibhav Pandey. 2020-05-07. Cohomological dimension of ideals defining Veronese subrings. https://doi.org/10.1090/proc%2F15273

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