Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Seshadri constants of parabolic vector bundles   Let $X$ be a complex projective variety, and let $E_{\ast}$ be a parabolic
vector bundle on $X$. We introduce the notion of \textit{parabolic Seshadri
constants} of $E_{\ast}$. It is shown that these constants are analogous to the
classical Seshadri constants of vector bundles, in particular, they have
parallel definitions and properties. We prove a Seshadri criterion for
parabolic ampleness of $E_{\ast}$ in terms of parabolic Seshadri constants. We
also compute parabolic Seshadri constants for symmetric powers and tensor
products of parabolic vector bundles.

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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom