Fibers of Projections and Submodules of Deformations
Roya Beheshti, David Eisenbud
TL;DR
This paper introduces new invariants to bound the complexity of fibers in generic linear projections of smooth varieties, providing a simpler proof of Mather's bounds on Thom-Boardman invariants.
Contribution
It defines a new family of invariants related to projections and offers a simplified proof of existing bounds on Thom-Boardman invariants.
Findings
Bound the complexity of fibers using new invariants
Established a simple proof of Mather's bounds
Connected invariants to Thom-Boardman invariants
Abstract
We bound the complexity of the fibers of the generic linear projection of a smooth variety in terms of a new family of invariants. These invariants are closely related to ideas of John Mather, and we give a simple proof of his bound on the Thom-Boardman invariants of a generic projection as an application.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Commutative Algebra and Its Applications · Polynomial and algebraic computation