Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat