Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1149 - 1176 |
| Seitenumfang | 28 |
| Fachzeitschrift | Journal of Differential Geometry |
| Jahrgang | 128 |
| Ausgabenummer | 3 |
| Frühes Online-Datum | 16 Okt. 2024 |
| Publikationsstatus | Veröffentlicht - Nov. 2024 |
Abstract
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Algebra und Zahlentheorie
- Mathematik (insg.)
- Geometrie und Topologie
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in: Journal of Differential Geometry, Jahrgang 128, Nr. 3, 11.2024, S. 1149 - 1176.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Multiplicities of irreducible theta divisors
AU - Lozovanu, Victor
N1 - Publisher Copyright: © 2024 International Press, Inc.. All rights reserved.
PY - 2024/11
Y1 - 2024/11
N2 - Let (A,Θ) be a complex principally polarized abelian variety of dimension g≥4. Based on vanishing theorems, differentiation techniques and intersection theory, we show that whenever the theta divisor Θ is irreducible, its multiplicity at any point is at most g−2. This improves work of Kollár, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas to study the same type of questions for pluri-theta divisors.
AB - Let (A,Θ) be a complex principally polarized abelian variety of dimension g≥4. Based on vanishing theorems, differentiation techniques and intersection theory, we show that whenever the theta divisor Θ is irreducible, its multiplicity at any point is at most g−2. This improves work of Kollár, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas to study the same type of questions for pluri-theta divisors.
UR - http://www.scopus.com/inward/record.url?scp=85208226880&partnerID=8YFLogxK
U2 - 10.4310/jdg/1729092456
DO - 10.4310/jdg/1729092456
M3 - Article
VL - 128
SP - 1149
EP - 1176
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
SN - 0022-040X
IS - 3
ER -