Multiplicities of irreducible theta divisors
Let $(A,\Theta)$ be a complex principally polarized abelian variety of dimension $g\geq 4$. Based on vanishing theorems, differentiation techniques and intersection theory, we show that whenever the theta divisor $\Theta$ is irreducible, its multiplicity at any point is at most $g-2$. This improves...
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| creator | Lozovanu, Victor |
| description | Let $(A,\Theta)$ be a complex principally polarized abelian variety of
dimension $g\geq 4$. Based on vanishing theorems, differentiation techniques
and intersection theory, we show that whenever the theta divisor $\Theta$ is
irreducible, its multiplicity at any point is at most $g-2$. This improves work
of Koll\'ar, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas
to study the same type of questions for pluri-theta divisors. |
| doi_str_mv | 10.48550/arxiv.2002.04360 |
| format | Article |
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dimension $g\geq 4$. Based on vanishing theorems, differentiation techniques
and intersection theory, we show that whenever the theta divisor $\Theta$ is
irreducible, its multiplicity at any point is at most $g-2$. This improves work
of Koll\'ar, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas
to study the same type of questions for pluri-theta divisors.</description><identifier>DOI: 10.48550/arxiv.2002.04360</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry</subject><creationdate>2024-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2002.04360$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2002.04360$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Lozovanu, Victor</creatorcontrib><title>Multiplicities of irreducible theta divisors</title><description>Let $(A,\Theta)$ be a complex principally polarized abelian variety of
dimension $g\geq 4$. Based on vanishing theorems, differentiation techniques
and intersection theory, we show that whenever the theta divisor $\Theta$ is
irreducible, its multiplicity at any point is at most $g-2$. This improves work
of Koll\'ar, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas
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dimension $g\geq 4$. Based on vanishing theorems, differentiation techniques
and intersection theory, we show that whenever the theta divisor $\Theta$ is
irreducible, its multiplicity at any point is at most $g-2$. This improves work
of Koll\'ar, Smith-Varley, and Ein-Lazarsfeld. We also introduce some new ideas
to study the same type of questions for pluri-theta divisors.</abstract><doi>10.48550/arxiv.2002.04360</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.2002.04360 |
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| source | arXiv.org |
| subjects | Mathematics - Algebraic Geometry |
| title | Multiplicities of irreducible theta divisors |
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