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- W3182175898 abstract "We study the cohomology of the generic determinantal varieties $M_{m,n}^s = { varphi in mathbb C^{mtimes n} : mathrm{rank} varphi <s }$, their polar multiplicities, their sections $D_k cap M_{m,n}^s$ by generic hyperplanes $D_k$ of various dimension $k$, and the real and complex links of the spaces $(D_kcap M_{m,n}^s,0)$. Such complex links were shown to provide the basic building blocks in a bouquet decomposition for the (determinantal) smoothings of smoothable isolated determinantal singularities. The detailed vanishing topology of such singularities was still not fully understood beyond isolated complete intersections and a few further special cases. Our results now allow to compute all distinct Betti numbers of any determinantal smoothing." @default.
- W3182175898 created "2021-07-19" @default.
- W3182175898 creator A5088275376 @default.
- W3182175898 date "2021-07-05" @default.
- W3182175898 modified "2023-09-27" @default.
- W3182175898 title "On the topology of determinantal links" @default.
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