The Plücker degree of the main component of the Quot scheme is computed via a decomposition of pushforward classes of powers of c1(O^[l]) in the Chow ring of the symmetric product, yielding its leading term and a higher-dimensional Schubert analogue.
Grothendieck, Techniques de construction et théorèmes d’existence en géométrie algébrique IV , Sém
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Pl\"ucker degrees of Quot schemes
The Plücker degree of the main component of the Quot scheme is computed via a decomposition of pushforward classes of powers of c1(O^[l]) in the Chow ring of the symmetric product, yielding its leading term and a higher-dimensional Schubert analogue.