Homotopically trivial deformations
Javier Fernandez de Bobadilla, J\'anos Koll\'ar
TL;DR
This paper investigates deformations of complex projective varieties that do not alter their homotopy or homology type, proposing conjectures and providing examples and partial results.
Contribution
It introduces new conjectures and explores examples regarding homotopically trivial deformations of complex projective varieties.
Findings
Formulated several conjectures on homotopically trivial deformations
Provided examples illustrating these deformations
Presented partial results supporting the conjectures
Abstract
We study deformations of complex projective varieties that are homotopically or homologically trivial. We formulate several conjectures and give some examples and partial answers.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Nonlinear Waves and Solitons