Shane D’Mello

activity

20132026

most citedRational cuspidal curves on del-Pezzo surfaces

6 citations · 9 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AG2016

M-curves and symmetric products

Indranil Biswas, Shane D'Mello

Let $(X, σ)$ be a geometrically irreducible smooth projective M-curve of genus $g$ defined over the field of real numbers. We prove that the $n$ -th symmetric product of $(X, σ)$ …

math.AG2015★ 6 cited

Rational cuspidal curves on del-Pezzo surfaces

Indranil Biswas, Shane D'Mello, Ritwik Mukherjee +1

We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the s…

math.AG2013★ 3 cited

Rigid isotopy classification of real degree-4 planar rational curves with only real nodes (An elementary approach)

Shane D'Mello

We prove an elementary method to classify, up to rigid isotopy, all nodal degree 4 real rational curves in $RP^{2}$ that have only real double points. We show how to associa…