Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chow quotients and projective bundle formulas for Euler-Chow series   Given a projective algebraic variety $X$, let $\Pi_p(X)$ denote the monoid of
effective algebraic equivalence classes of effective algebraic cycles on $X$.
The $p$-th Euler-Chow series of $X$ is an element in the formal monoid-ring
$Z[[\Pi_p(X)]]$ defined in terms of Euler characteristics of the Chow varieties
$\cvpd{p}{\alpha}{X}$ of $X$, with $\alpha \in\Pi_p(X)$. We provide a
systematic treatment of such series, and give projective bundle formulas which
generalize previous results by B. Lawson and S.S.Yau and Elizondo. The
techniques used involve the Chow quotients introduced by Kapranov, and this
allows the computation of various examples including some Grassmannians and
flag varieties. There are relations between these examples and representation
theory, and further results point to interesting connections between Euler-Chow
series for certain varieties and the topology of the closure of moduli spaces
$M_{0,n+1}$.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int