Guillermo Peñafort Sanchis

most citedCohomological connectivity of perturbations of map-germs

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math.AG2021★ 1 cited

Cohomological connectivity of perturbations of map-germs

Yongqiang Liu, Guillermo Peñafort Sanchis, Matthias Zach

Let $f : (C^{n}, S) \to (C^{p}, 0)$ be a finite map-germ with $n < p$ and $Y_{δ}$ the image of a small perturbation $f_{δ}$ . We show that the reduced cohomology of $Y_{δ}$ is…

math.AG2018

Image Milnor number formulas for weighted-homogeneous map-germs

Irma Pallarés Torres, Guillermo Peñafort Sanchis

We give formulas for the image Milnor number of a weighted-homogeneous map-germ $(C^{n}, 0) \to (C^{n + 1}, 0)$ , for $n = 4$ and $5$ , in terms of weights and degrees. Our e…