Dynamics of varieties with only finitely many rational points
星期四, 10 十月, 2019 - 10:30
We present recent work with Junyi Xie in which we show that a variety over a number field with only finitely many rational points in any given number field has only finitely many dominant rational self-maps. This result is motivated by Lang-Vojta's conjecture. Indeed, such varieties should be of general type. We also prove similar results about varieties for which moduli spaces of maps from curves are bounded.
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Thème de recherche :
Théorie des nombres