Multiplicities of irreducible theta divisors

Research output: Working paper/Preprint › Preprint

Authors

  • Victor Lozovanu

Research Organisations

View graph of relations

Details

Original languageEnglish
Publication statusE-pub ahead of print - 11 Feb 2020

Abstract

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.

Cite this

Multiplicities of irreducible theta divisors. / Lozovanu, Victor.
2020.

Research output: Working paper/Preprint › Preprint

Lozovanu, V. (2020). Multiplicities of irreducible theta divisors. Advance online publication. https://arxiv.org/abs/2002.04360
Lozovanu V. Multiplicities of irreducible theta divisors. 2020 Feb 11. Epub 2020 Feb 11.
Download
@techreport{606587bb43c94c02b4ac535ebd4d462f,
title = "Multiplicities of irreducible theta divisors",
abstract = "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 Koll{\'a}r, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas to study the same type of questions for pluri-theta divisors. ",
author = "Victor Lozovanu",
year = "2020",
month = feb,
day = "11",
language = "English",
type = "WorkingPaper",

}

Download

TY - UNPB

T1 - Multiplicities of irreducible theta divisors

AU - Lozovanu, Victor

PY - 2020/2/11

Y1 - 2020/2/11

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.

M3 - Preprint

BT - Multiplicities of irreducible theta divisors

ER -