Gualdi, Roberto and Martinez, Cesar (2022) HIGHER DIMENSIONAL ESSENTIAL MINIMA AND EQUIDISTRIBUTION OF CYCLES. ANNALES DE L INSTITUT FOURIER, 72 (4). pp. 1329-1377. ISSN 0373-0956, 1777-5310
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The essential minimum and equidistribution of small points are two well-established interrelated subjects in arithmetic geometry. However, there is lack of an analogue of essential minimum dealing with higher dimensional subvarieties, and the equidistribution of these is a far less explored topic. In this paper, we introduce a new notion of higher dimensional essential minimum and use it to prove equidistribution of generic and small effective cycles. The latter generalizes the previous higher dimensional equidistribution theorems by considering cycles and by allowing more flexibility on the arithmetic datum.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ARAKELOV GEOMETRY; LINE BUNDLES; SMALL HEIGHT; SMALL POINTS; Equidistribution of cycles; Arakelov geometry; Heights; Essential minimum |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Feb 2024 07:26 |
| Last Modified: | 07 Feb 2024 07:26 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56600 |
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