reduced

A ring is reduced if it has no nonzero nilpotents. A scheme \(X\) is reduced iff every section \({\mathcal{O}}_X(U)\) is a reduced ring, i.e. contains no nonzero nilpotents. Note that being reduced is a local property and can be cheked on an affine open cover or on stalks.

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05-20-2022

What is a reduced normal crossings surface?

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strict normal crossings divisor

Tags: ? Refs: reduced regular
slc

A pair \((X, B)\) with \(X\) a reduced variety and \(B = \sum b_i B_i\) a \({\mathbf{Q}}{\hbox{-}}\)divisor is an slc pair iff
scheme

reduced
perfect ring

When reduced:
Weil Conjectures

See reduced schemes of finite type, closed point, degree of a closed point. Frobenius morphism.

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