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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

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Examples of perfect pseudo algebraically closed fields in positive characteristic

Yes, every ultraproduct $F$ of fields of the form $\mathbb{F}_{p^{n!}}$ has this property. It is pseudo finite and hence perfect and pseudo algebraically closed. Moreover, since every polynomial with …
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Transversal intersection in the moving lemma

Let $X$ be a smooth projective variety over an algebraically closed field and let $A,B$ be closed irreducible subvarieties of $X$. Chow's moving lemma which is proved in the book by Eisenbud and Harri …