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arXiv · 1606.09138

Classical formulae on projective surfaces and $3$-folds with ordinary singularities, revisited

Takahisa Sasajima·Toru Ohmoto
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Abstract

As an application of universal polynomials for local and multi-singularities of maps, we revisit classical enumerative formulae of Salmon-Cayley-Zeuthen for projective surfaces and analogous formulae of Segre-(B.)Severi-Roth for projective $3$-folds. In particular, several examples of actual computation are given using universal polynomials for computing weighted Euler characteristics of singularity loci.

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Takahisa Sasajima, Toru Ohmoto. 2016-06-29. Classical formulae on projective surfaces and $3$-folds with ordinary singularities, revisited. https://arxiv.org/abs/1606.09138

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