Pointed Castelnuovo numbers

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Pointed Castelnuovo Numbers

Abstract. The classical Castelnuovo numbers count linear series of minimal degree and fixed dimension on a general curve, in the case when this number is finite. For pencils, that is, linear series of dimension one, the Castelnuovo numbers specialize to the better known Catalan numbers. Using the Fulton-Pragacz determinantal formula for flag bundles and combinatorial manipulations, we obtain a ...

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2016

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2016.v23.n2.a5