Details
| Original language | English |
|---|---|
| Pages (from-to) | 1149 - 1176 |
| Number of pages | 28 |
| Journal | Journal of Differential Geometry |
| Volume | 128 |
| Issue number | 3 |
| Early online date | 16 Oct 2024 |
| Publication status | Published - Nov 2024 |
Abstract
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Geometry and Topology
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In: Journal of Differential Geometry, Vol. 128, No. 3, 11.2024, p. 1149 - 1176.
Research output: Contribution to journal › Article › Research › 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 -