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- W4386869527 abstract "We describe two theorems concerning the structure of the (tame) fundamental group of a smooth (quasi)-projective variety in characteristic $$p>0$$ . The first one (Esnault et al., Sel Math 28(2):19 pp., 2022) shows a similarity with the complex situation concerning the finite presentation and ultimately relies on a theorem of Lubotzky (J. Algebra 242(2):672–690, 2001), the second one (Esnault et al., Algebr. Geom. 10(3):327–347, 2023) yields a new obstruction for a smooth projective variety in characteristic $$p>0$$ to lift to characteristic 0 and ultimately relies on Grothendieck’s specialization homomorphism. In particular, and interestingly, the second one shows that we cannot explain the finite presentation of the first one by a lifting argument. In Chap. 4 we treat the finite presentation, in Chap. 5 the obstruction." @default.
- W4386869527 created "2023-09-20" @default.
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- W4386869527 date "2023-01-01" @default.
- W4386869527 modified "2023-09-27" @default.
- W4386869527 title "Lecture 4: Interlude on Some Similarity Between the Fundamental Groups in Characteristic 0 and $$p>0$$" @default.
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- W4386869527 doi "https://doi.org/10.1007/978-3-031-40840-3_4" @default.
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